WhatMeWorry
Playing devil's advocate for a moment - my DH was happy to let our daughter have MMR and I wasn't - does that mean he should have ridden roughshod over my feelings and concerns? I think not
Sounds like he should have actually.... Take heart from that OP
So if two parents in a relationship have different ideas, one should be completely free to do as they like without any consideration or respect for the other's feelings? 
(Although I probably should have mentioned that my daughter has been vaccinated - albeit separately, was not advocating leaving MMR in any form to chance).
I realise it's not comparable to the OP's situation, am merely giving the example of two people with different ideas having to talk and come to a compromise not just say 'this is what I think should happen so tough shit', which seems to be the opinion of several posters on this thread.
FWIW I think the OP sounds like a nice bloke who'd be quite capable of looking after his daughter for a weekend, but I don't actually know him or his wife or daughter, so to categorically say that he should take the daughter for the weekend whether his wife likes it or not is totally ridiculous.
Would also like to add that I am not a control freak mum myself - have left DD with DH regularly since going back to work when she was 18 weeks, including for long days out and weekends away. But that's the thing, he's always been hands on with DD since she was tiny, perhaps the OP hasn't, because of work commitments or whatever.
Also from a very personal point of view, I suffered from PND which really took hold at when DD was about 3 months. OP's wife could have all sorts of stuff going through her head that she maybe hasn't had the time, energy or confidence to talk to him about yet, and which may be affecting the way she feels about this.