No, she wasn't. She was annoyed about Elizabeth flirting with Doug, but she directed that at Doug, although that was unfair also, because Doug didn't respond and even quickly informed Elizabeth that he was involved with someone.
I guess I was watching a completely different show, because I never saw anything like what everyone is describing here. I don't know why the writer's felt the need to have her and Jeannie/Maggie at each other's throats. If she and Susan could be best friends, there's no reason she couldn't get along with other women. I guess the writers found it more interesting to script catfights rather than friendships.
I will say two moments of hers that did annoy me were back in Season 1--one where she was incredibly rude to Doug after he asked her to do something perfectly reasonable--"Are your hands painted on?" and another when Doug was scrambling around trying to get asthma meds for a patient--"She needs this and that, etc." Carol snidely comments that "she must be very pretty", and without even looking at her, Doug snaps, ""She's" TWELVE!"