Thank you for all your replies and thoughts. In answer to a couple of questions:
Yes, my daughter does still have a good relationship and sees her dad regularly (not at moment of course) and co-incidentally she did have a serious boyfriend but they broke up just as I met my partner so not the best timing and I think there may be an element of jealousy as we used to do lots together and don't so much anymore although I try to make time and do special things with her too as much as time and finances allow. Also, I've told her that we have no plans to move in together so she shouldn't be feeling anxious about that.
I think I will just try not to worry so much about it, what will be, will be after all and, as someone said, I can't force things either way. They will just have to get on with it to some degree and hopefully it will all work out in the end.
Thanks again Gransnetters.