Yep, she wanted a shortcut to respect. She saw the guys had respect, and she wanted in but she wanted it quick, so she acted recklessly without forethought but with a huge heap of entitlement. Which was stupid. Rick and Shane had respect because they had police training and that meant facing down crap as well as planning (admittedly Shane is a failure here, but the group didn't know that at that point), Daryl had respect because of his woodsmanship skills, Dale had a whole lot of life experience and a calm demeanor (mostly), and Glen had respect because he proved himself as a tactician and being willing to take personal risks for the good of the group.

Andrea wanted that level of respect. She wanted to be seen as a big shot. It was no different than young Carl throwing stones at the trapped zombie. Both of them childishly trying to make themselves look big and important, and both doing more harm than good. She just didn't want to put in the hard work to get it the slow way.

Andrea didn't want to be down with those she didn't think deserved respect (she was real judgmental, as much as Lori even) which were mostly the other women. And T-Dog. And T-Dog and Carol were slowly gaining respect, mainly by doing hard work that needed doing, but that wasn't the glamorous gun-slinging so that wasn't good enough for Andrea. She wanted to go from zero to hero in one step. Just like young Carl.

She was a grown ass woman acting like a child.