My Girlfriend Has HSV-1 A Few Months Back I Kissed

My girlfriend has HSV-1 a few months back I kissed her while she had an outbreak and while I haven't been tested yet, I have had what seems like sores that were painful so I assume I have it too. I'm wondering that even if we are infected with an identical virus (I even got it from her and not someone else), could I infect her in "other places" if I were to perform unlrotected oral sex? If so, what are the odds? Neither of us have HSV-2.