Sorry, but no it didn't.
Find another source than Wikipedia and you'll see that's not the truth.
Also, if by ruling, it means that one nation signs a piece of paper that says that they do so, but no-one else, including the nation supposedly being ruled, agrees, does it really mean anything?
And I thought ruling meant you were in charge of the entire territory, not a small trading outpost, as is that was the case, then Sweden ruled the USA at one point in time.
At best, the Qing dynasty managed to occupy parts of Taiwan for seven years.
Recent article with some irrelevant waffle in it.
John Cena’s apology is a good opportunity to look back at the historical reality of Taiwan’s status and identity over the last 200 years.
thediplomat.com
Taiwan isn't part of most international organisations, as xina says no, so no, those rules so not apply, even less so as xina sees Taiwan as a renegade province. As such, it and all its people and business belongs to xina. As such, they need not justify anything, as it's the internal business of xina and anyone if a different opinion has no say.