Steve, I am not sure how old your kids are (maybe I missed that somewhere), but her wanting to introduce someone to the kids was bound to happen....and it is bound to happen with you too.
I don't have kids, but I am a child of D..(actually I was grown when it happened but I don't think it is much easier). I can see why OD has a problem that her mom is dating....but what do you think the problem is? Does she think it is too soon? Does she think it would hurt you? Does she think this ends the possibility of you two getting back together?
Maybe you should talk to her about what her specific problem is. Maybe it just makes her uncomfortable. I know it was all of the above when my parents started dating again and I was 25 years old before I was introduced to anyone. I didn't want to meet them and I was upset about it. I guess my point is that your children may never be ready for this, but you are divorced and it is something that will happen eventually.
It is very possible that they will feel disloyal to you for meeting someone else....and I don't think you should feed into that. It makes them feel guilty for something that is beyond control. They shouldn't be forced to do something that they are against, but I do think you should talk to them and get to the root cause of why they aren't ready.
