Oh, and no more staying out 'til the wee hours with other women, platonic or otherwise. NOT while you're in a legal battle. Has your L advised you on this yet?
Your D may not understand you cutting contact between her and her stepmother, but this is going to be one of those times, P17, when you're just going to have to say "You may not agree with me right now, but I'm doing what's best for you as your father." My wife used to say to our teenaged daughters "I'm more concerned with what the 30-year old you thinks, than whether or not you agree with me right now." When my daughter would ask "What do you mean?", my wife would say "Thirteen years from now (or whatever), I don't want my 30-year old daughter coming to me saying 'Mom, what the hell were you THINKING letting me do that???!'"