The situation is as follows....Girl started texting me out of the blue and chased after me for a few weeks...we finally got together and things have been going really well...closed her and continue to do so(sex has been great for me, but I have not been lasting as long as normal bc she is sexy as fuck) we have been seeing each other a few weeks.
The problem is she just out of a relationship with another dude when she started to text and show interest in me and I mean directly out of the relationship, I don't think even a week passed when she started contacting me. Now the other dude is back in the picture. The way this happened was that after her graduation party she went to a bar with her friends, I couldn't go to the bar as I had to be up super early so I told her to go have fun. So apparently her ex is there and from what my friends tell me they talk and he kino's her most of the night. Now I come to find out she has been back in touch with him texting with him for sure...but possibly more.
I played it pretty cool when I found out as we are not in an exclusive relationship and have never talked about being in one. When we talked about it I just simply said I didn't particularly care that she was talking to him because I assume they broke up for good reasons and I didn't think I had much to worry about. Not having much to worry about is a lie bc dude is an alpha and clearly has game, way younger than me which is her age and is clearly more social from what little I know about him.
I was planning on asking this girl to go on a trip with me and now I'm not so sure. It could be a good thing to get her away from the other dude and show her what a fun, laid back guy I am or she could shoot me down and everything crumbles after that. Advice please

PS Pretty sure from what she said he broke up with her.