I don't think Danny will resent Sheldon either...it would more likely be the new girl, Summer. Danny strikes me as territorial and protective of his "people"--since he doesn't trust easily, he's the type to be wary of new people. In fact, he's already shown that he is: he's abrupt with Chad, and he was snarky to Officers Lilly and Vicaro. Danny likes the people he knows, but since he doesn't trust easily, he's standoffish to those he doesn't know.
I don't see him being mean to Summer--after all, as someone said above, he's not a nasty person--but I don't think he'll warm to her right away either, since he'll see her as somewhat of an interloper on his territory.