Alright. I already made a post earlier about how, as a fic author, you can't expect readers to never express negativity or dislike about the things you write anywhere ever. This is a post about what you can do as an author in this situation, if you so choose.
Just so it's clear, I'm NOT talking about readers leaving negative or critical reviews on a fic. This is about readers talking, in general terms, about fic tropes they personally dislike in a public venue where an author who writes those tropes MIGHT stumble across it.
First, if you're sensitive, don't go through the quote-tweets on a quote-tweet game about people expressing dislike of fic tropes. I know social media platforms can make it hard to curate your spaces perfectly, but you've gotta take some responsibility for hitting that back button.
Second, keep in mind the difference between a personal preference and an objective criticism. And then keep in mind that someone can frame something as an objective criticism and be wrong about it. Actually, just in general, remind yourself that people are gonna have disagreements about things, and that's okay.
Third, if you want to be less sensitive, send a fic off to an experienced beta-reader. (Not your bestie.) I'm recommending that here specifically because it'll give you the chance to experience someone being critical about what you wrote (where you hear about it, even) but in a controlled setting. It's just ONE person, you can engage with their comments one your own terms, and it can help toughen you to the reality that, yes, there will be people who dislike what you write.
Fourth, beta-read someone else's fic. As authors, we put a lot of ourselves in our writing, and it's easy to fall into the trap of thinking that criticism of our work is criticism of us. But it's not, and being on the other end of things can help you get into the mindset of, "Oh, people are looking at my work as a thing separate and isolated from my person."
Fifth, write a passion fic for a rare pair or obscure fandom where you'll get little to no engagement. Because, look, we all like praise, but if you can ground yourself in a place where you're writing first and foremost for yourself, you'll be less shaken by coming across someone expressing dislike for a trope you write.