WHY ON EARTH are you putting your dd through this?!
Her dad and his mother don't genuinely care for her, they've given NO support financially or practically (why didn't you pursue maintenance?!) she's not interested in seeing this woman (and I don't blame her she's basically an unfriendly stranger!).
Why do you feel the need to prostrate yourself AND dd before this woman's feet?
I wouldn't ask her for a thing! She'll just use it as a stick to beat you with and its not her responsibility anyway - it's her sons/dds fathers!
Tbh you should be telling her to get to fuck - actually you should have done this YEARS ago! If anyone's to blame for her son being a shit deadbeat dad it's her (and his father if he's around).
"top of which being if he wants to see her it should be because he wants a relationship with her not because he’s paying for her." Cutting off YOUR nose to spite your face is one thing, in your case your dd has also suffered from your decision.
You've left it WAY too late to change your approach to this woman. 13 years?!
"I suggested meeting in London actually but she doesn’t like the crowds. Aren’t any musicals that I know of out of town?" Oh ffs really?! There ARE theatres and musicals life outside of London. Where are you? I'm sure if you wanted to mners could help you find a production in another town/city near you.
"my daughter has seen me taking the name calling, and sees me continue to try to maintain a relationship with xmil." Why ON EARTH would you think this is a good thing?! You're teaching your dd that women put up with shit treatment merely because someone is "family" - that's an appallingly unhealthy message to give her!
Take it from me 13-18 is really bloody expensive! Get onto the maintenance issue ASAP!
"Your dd’s needs trump your wants. "
This! With huge great bells on!
How can you possibly know what will happen with maintenance with a man you haven't seen in 13 years?!
On contact - after 13 yrs of nc its extremely unlikely any court would very interested in anything he might say on this and if he is clearly doing so because he's having to pay maintenance - and he doesn't have to say so for them to know that - that will go AGAINST him. (It may not be official but judges aren't stupid!)
"She won’t see xmil without me" I don't bloody blame her!
"I’d have to take her and hang around anyway" you don't HAVE to take her at all!
You're taking the high moral ground OVER what is BEST for your dd! You're setting your PRIDE as more important than your dds emotional well being.
Just because someone is family doesn't mean you have to stay in touch with them, doesn't mean you accept abuse or neglect from them. My immediate family are almost all abusive in some way. I'm nc with my sister and vlc with parents, bro and I get along fine.
You need to get your priorities sorted.
You may have dodged a bullet this year but not by being particularly assertive or clear! What's going to happen next time this stranger visits uk?