Every few years a headline announces that NASA has added a thirteenth zodiac sign, that the dates have shifted, and that you're no longer the sign you thought you were. The story gets shared, argued about, and forgotten, and then it comes back. It's been coming back since at least 1995.
The story rests on a real fact and a wrong assumption. This guide gives you both, plus enough background on constellations versus signs to explain the next headline yourself.
The real fact
The Sun's path across the sky, the ecliptic, passes through more than twelve constellations. Using the constellation boundaries the International Astronomical Union fixed in 1930, it crosses thirteen: the twelve familiar ones plus Ophiuchus, the Serpent Bearer, which sits between Scorpius and Sagittarius. The Sun spends about 18 days in front of Ophiuchus each year, from roughly November 30 to December 18.
That's true. It's been true for thousands of years. Ptolemy knew Ophiuchus was on the ecliptic in the second century.
The wrong assumption
The assumption is that zodiac signs are constellations. They aren't. They share names, and that's the source of the confusion.
A zodiac sign is a 30-degree slice of the ecliptic, one twelfth of the circle, measured from a defined starting point. Twelve signs, 360 degrees, equal size, by definition. A constellation is a region of the sky with irregular boundaries drawn by astronomers for cataloguing stars. Some are huge (Virgo spans about 45 degrees of the ecliptic), some are small (Scorpius spans about 7). They were never equal, never twelve on the ecliptic, and never the thing astrology measured.
So "the Sun is in front of Ophiuchus" is an astronomical statement about a star field. "The Sun is in Sagittarius" is an astrological statement about a 30-degree segment. Both can be true at the same moment, and usually are in early December.
Constellations are not signs
The split goes back to the Babylonians, who used the constellations along the ecliptic as landmarks and then, around the fifth century BCE, idealized them into twelve equal 30-degree signs for calculation. The signs kept the constellation names because that was the vocabulary available. From that point on, astrology worked with the signs, not the star groups.
Western astrology then anchored the signs to the seasons (the tropical zodiac): 0 degrees Aries is the spring equinox point, regardless of which stars are behind it. That decision, made about 2,000 years ago, is why the signs are seasonal phases and why the star field behind them is beside the point.
Vedic astrology anchors the signs to the stars instead (the sidereal zodiac), but it still uses twelve equal 30-degree signs, not the constellation boundaries. Even the star-anchored system doesn't use Ophiuchus, because Ophiuchus is a constellation, and signs aren't.
Why twelve
Twelve is a calendar number: the year has roughly twelve lunar months, the Sun moves about 30 degrees per month, and 360 divides cleanly by 12. The Babylonians wanted a system that mapped months to sky segments, and twelve equal segments did that. Thirteen unequal ones wouldn't have.
The twelve signs are a coordinate system. Arguing that there should be thirteen because thirteen constellations touch the ecliptic is like arguing that the year should have thirteen months because thirteen mountain ranges lie along the equator.
What NASA actually said
NASA didn't add a sign. In 2016 a NASA educational page for children explained the difference between constellations and signs, noted that the Babylonians left Ophiuchus out to keep twelve, and pointed out that precession has shifted the constellations relative to the signs. The page was about astronomy. A blog picked it up, headlines turned "NASA explains" into "NASA changes," and NASA issued a clarification saying, in effect, we do astronomy, not astrology, and we didn't change anything.
Every recurrence of the story since has been a recycled version of that one.
The precession part is true too, and also doesn't matter
The headlines usually add that "the Earth's axis has shifted, so the dates are off." The wobble is real: precession moves the equinox point backwards against the stars about one degree every 72 years, and the tropical signs have drifted about 24 degrees from the constellations they're named after since the two roughly coincided.
This is exactly the tropical-versus-sidereal question, and it's a legitimate discussion within astrology. It's also not new, not a discovery, and not about Ophiuchus. Tropical astrologers know the signs don't line up with the constellations; that's the design. Sidereal astrologers correct for the drift; that's their design. Neither adds a thirteenth sign.
Where Ophiuchus does show up
A small number of astrologers have experimented with a 13-sign sidereal zodiac based on constellation boundaries. It's a fringe project, not a hidden truth, and it produces signs of wildly different lengths, which breaks most of the techniques that depend on equal signs (rulerships, aspects by sign, profections, and so on).
Ophiuchus also has a real place in astrology as a constellation: fixed stars within it (Ras Alhague is the best known) are used by astrologers who work with fixed stars, at their actual positions, in the normal twelve-sign chart. That's how constellations have always been used: as star sources, not as signs.

What this means for your chart
Nothing. Your Sun sign is the same as it was. The dates haven't moved, the signs are still twelve, and Ophiuchus is still a constellation with a nice name and a snake.
If you want to see for yourself, open the birth chart tool โ. It calculates positions with Swiss Ephemeris, the same data astronomers use, and places them in the twelve tropical signs, which is what a Western chart is. The star field is calculated too; it just isn't the zodiac.
The next time the headline appears, and it will, you can read it as a reminder of a true thing: the sky and the calendar are two different objects, and astrology chose the calendar a long time ago.