gpa

AXiD def requires more than a 3.0 and i think ADPi does too.
But yes, a 3.0 is good for most of the chapters here.
"Safe" isn't really the correct term here...sounds like you are competing on a reality show (which I think is how a lot of PNMs think of sorority recruitment nowadays...). Having a 3.0 doesn't get you any more brownie points with sororities, it just means they don't have a reason to not invite you to the next round based on GPA (maybe they have another reason to not invite you back).
Rushing the sororities here isn't about winning or staying "safe", it is about finding a home here at UD. A group of women that will not only make you better version of yourself, but that you will impact as well. Good luck :)

A lot of sororities have their minimums above a 3 but some are below

Azd's gap cuts are the highest, they cut below 3.0 no exceptions.
Most other houses are around a 2.8 but flexible.
So yes a 3.0 would be safe.

If you really want to guarantee you won't be but for GPA purposes you would need around a 3.3

Look, freshmen, I know there are some of you freaking out reading this because maybe you had a rough time adjusting or you realized your major isn't right for you or you're a science major stuck in chem and bio and calc etc. You're going to be okay!!! As long as you didn't fail all of your classes this semester, you should be fine. Yes having a 3.3 would be nice, but that isn't realistic for some of us. If you can scrape by with a 2.7 you will be okay for most houses. Sure there may be some that cut you solely for GPA, but don't be discouraged!