Hey there!
Well you definitely have that huge major obstacle in your profile, but you may have saved yourself with the GMAT. In a weird way, it may even be "good" that you did so poorly. I mean, it's not good... but at least as opposed to a 3.0 it's a STORY. So you have this one obstacle, obviously you have to deal with it in every application, and you just have to make as good a story as you can about being immature, existential worries, and then making good on it later. There's nothing you can DO about your GPA anymore (Actually you have already done that one thing by getting your GMAT as high as it is).
Right now you can also work a wee bit on your job description. The title sounds really good, but the bullets you have here seem rather... well technical. I'm sure you have some good stories and good achievements here, so you need to milk those for all they are worth.
Can you still get into Tepper with your profile? I'd say you have a shot. It may not be easy, but as a female applicant with a 760 there's for sure a chance.