Something that is maybe a bit annoying to most people but is very annoying or
upsetting to a particular person.
Related to the word
peeve meaning an annoyance or
grievance, a pet peeve is something that a person has adopted(like a pet) to be extra annoying or upsetting to them. Like a pet, they pay a lot of attention to this peeve and may talk about it a lot and share funny pictures of it on the internet.