1.People can still be questionable and not do any of those things you just listed.
2. Yes, she does have an agenda. She wants people to feel sorry for her because she portrays herself as the victim in all of her relationships. Yes, there are songs where she takes responsibility for her relationships failing, but that’s only two songs (I Knew You Were Trouble and Back to December).
3. Assuming that women are tearing her down because “that’s what women do” is sexist. This article gives legitimate reasons to question Taylor Swift and all you got out of that was, “Ugh women! They’re just made to tear other women down!” You’re just perpetuating the idea that women shouldn’t be taken seriously.