i know people who:
don't like dogs [i have a dog]
don't like cats [i have three foster kittens]
don't like snakes [i have a snake]
don't like other reptiles/amphibs [i have newts, plan to get a beardie]
don't like rodents [i have a chinchilla]
don't like fish [i have two]
these people i am thinking of are people i would trust my very life with. some i would trust to raise my children. i don't think anything is wrong with them, or "missing." some of them are much better people than me.
i will agree that if someone has a i-want-to-destroy-you-hatred for all animals, i would have some serious concerns. but not liking a specific type of animal has nothing to do with being trustworthy. just because you've been "bitten" by someone who just so happens to not like [insert species here], doesn't mean all people of the same opinion are "biters."
PS: back to the original topic - i have been bitten, unprovoked, by two off leash dogs. once as a child and once recently. these were both dogs with no history of attacking, etc. so, needless to say, i tend not to enjoy having strange dogs run up to me off leash.