I have sinned.

I am a young christian single guy who has gotten involved with a young christian married woman. Sin is a slippery slope, but I'm not going to make excuses or deflect blame for my actions. My relationship with her started platonically, as a friendship with her and her husband. Her and I texted regularly, then messages turned raunchy, then we got physical, not with intercourse, but with rubbing each other over our clothes and enjoying it. I have since made clear to her that we aren't doing this anymore and have stopped all such wrong actions with her. I have repeatedly prayed to God for forgiveness for my actions, but in the week since this happened I have felt sick to my stomach over the ordeal. Despite constant prayer, I still feel very sick to my stomach over what happened.

Without intercourse is this still adultery? Given the deep spiritual pain I'm feeling over the issue, is there something else I should be doing besides begging God for forgiveness and cutting off this relationship, or is the pain just par for the course similar to what David felt after Bathsheba? Prayers for redemption would be deeply appreciated.