[33girl]

Define "arrested" and "alcohol citations." Were they drunk and naked in the middle of the town square, or was it from a high school party where they had one beer? It would be ridiculous to not bid someone because of a HS indiscretion - if we all operated that way, we wouldn't have sororities.

You're right to worry about your campus reputation - since things done in the early days are often something that chapters never recover from. But quite frankly, I think giving bids to girls who are socially backward or unliked (but who've never had a drop of alcohol) would do far more damage to the image of your chapter.