I would just pull back, work on yourself, and wait for the next in-person and in-context opportunity with her. I'm sure it'll present itself.
It's really your call. You haven't been a saint yourself in this department early in your marriage, and I suspect she's "punishing" you for that (her comment about "how did it feel when you saw my dating profile?"). Only you can decide if her dating while you are separated is a dealbreaker to you or not.
