The Ninth Doctor kissed Captain Jack on the lips in his season, so wouldn’t this be the second?
I know Jack is bi/pan, but him kissing another man would be described by most as being a gay kiss.
The headline did specify that they were talking about the first gay kiss for the character of ‘The Doctor’, not the show as a whole, so Captain Jack kissing other men in general doesn’t make the headline wrong. The Ninth Doctor, who was a man, specifically kissing Jack on the lips is a gay kiss for their character though, and that makes the headline wrong.
I was just making a reference to the fact that Bi people are sometimes erased or not recognized in some lgbt+ communities, which often is problematic for them, as both their straight and gay/lesbian relationships are sometimes plagued by their partners/potential partners distrust, among other things.