Look, I have done SAHM, like you wouldn't ever begin to imagine. (unbelievable understatement!) I am Self employed now and work around my DS school hours. I believe I have the near perfect balance, I'm lucky, I know. I have no guilt complex at all! You couldn't be further wrong.
The reason I was angry with you is, to me, abundantly clear. you made a comment that your wife put her career before her child, and illustrated this by stating that she put her in full time day nursery - as if that is a bad thing to do.
It's not.
I may not have chose full time nursery for my DS, but I absolutely respect the right to do so. Daycare with other children, trained and focussed professionals providing good quality education and stimulation is a fantastic environment for a child to be in. Sets them up very well for the start of reception and teaches them to socialise better, integrate sooner and less likely to freak out when starting at 'big school'
For whatever reason your relationship failed. Not about to apportion blame on either side, but if she wasn't happy, your ExW has a right to end the relationship. She then is clearly responsible for her own living costs and has to find accommodation/employment etc that supports her.
You were/are not working (not sure of current status) so you were not going to be expected/able to sustain her in a new place. That would be impossible if you were not working and unreasonable if you were.
For your ExW to stay in a marriage just because of you, and the child you share, it'd be detrimental to everyone. You don't want to be living with someone that doesn't want to be with you FGS, it'd destroy you. Your child would be adversely affected too.
You CAN take legal steps to prevent her leaving the country, and I think that would be a fair expectation that you ought to investigate, but at the end of the day, if that would unreasonably adversely affect her life, then the court may say that she CAN go, subject to you having appropriate access.
You need to discuss this matter nicely with your ExW, to try to reach a reasonable compromise, and if that fails, then you try the legal route. The legal route though will not be pleasant, and your daughter will feel fall out. Either way.
You say you have a good relationship with your ExW. But you make snide little remarks about her, 'put her in FT nursery cos her career was more important' and 'is now trying to chase the big money in Switzerland'
You say she was headhunted for her current position. does it not occur to you that she is actually good at what she does? 
and that a move to the international market would mean that she gets bigger financial remuneration because she is worth it?
Sorry to say, but you come across as bitter and mean mouthed. Perhaps you have a bit of a right to be, but coming onto MUMSnet and attacking a woman's choice to be a working mum, a separated/single parent, you are going to have to realise that you are playing to a tough crowd.