Imagine a world of anthropomorphic animals (if you're thinking of Zootopia, that's a reasonable starting point). People in this world have a lot in common with humans — opposable thumbs, language, the ability to walk on two legs, etc. — but also retain some characteristics of their bestial cousins.
For the most part, physical violence among unrelated people is frowned upon. (However, there are notable exceptions; gatherings of male bovines and/or cervines at "certain times of the year", for example.) What happens among family and close friends is a little different, however. Equines and suines are known to nip at each other, and canines are especially notorious for "roughhousing".
Of course, the opposite is also true.
What type(s) of people would find this sort of thing most abhorrent?
Answers should be based on the behavior of real animals, and should be limited to land mammals. (No whales, seals, manatees, etc... or bats¹.) Also, there are no humans in this world, though there are other primates.
(¹ There are no bat-people in this world. Unlike Zootopia, people have a much more physically-plausible minimum size, which means bat-people wouldn't realistically be able to fly, and I don't want people running around with unusable wings.)
To put this in more human terms... some humans consider a certain amount of friendly physical contact perfectly normal; slapping a friend on the back, or "play punching", or giving your younger brother a "noogie". Canines would consider this sort of behavior extremely normal, if not "tame". I'm looking for (a) species that isn't/aren't necessarily opposed to any touching, but would be appalled by anything that might be construed as violent physical contact, such as the preceding examples. OTOH, species with a near-pathological aversion to any physical contact are okay too. (And I mean any. One that hates being hugged, but likes friendly scratches or mutual grooming doesn't qualify for 'hates any touching'.)