A somewhat cheesy quote that helped me a lot is “you can be the juiciest, ripest peach in the world, but some people just don’t like peaches”. I used to try way too hard to be likeable and I agonised over people who didn’t like me.
There was an instance of a colleague being rude and unprofessional to me, and under the framework of “they don’t like me and that’s why they’re being unkind”, it put the onus on me to change, which wasn’t reasonable. It should be possible for people to not like each other in a working relationship while still being respectful and productive.
Kill them with kindness. Be direct and to the point, but make them hate you more because you’re too nice. That way, if they want to talk shit about you, all they can say is that you’re too nice.
As someone else mentioned, if you screwed up, make amends, then the kindness thing.
If you have to interact with them, make it as minimal as possible. Otherwise just blank them out; ignore them, don’t look at them, don’t talk to them, don’t notice them.