I agree with Gucci. Especialy about the inviting her to dinner and _then_ telling her off for accepting a phone call. Conflicting messages to the max!
And as another opinion. I too, would find a 6ft plus man cupping my chin gently and telling me I had to leave extremely intimidating and probably quite frightening. A man does not have to raise his voice or hand to be intimidating. In fact, the quieter the man speaks, the pleasanter the tone whilst speaking words that kick a woman out of the house (after you had invited her) speaks of manipulation and quite frankly gave me nasty chills.
It sounds like your wife is quite clear about what she wants. And that is to be away from you.
all you can do at this point is look after yourself - GAL - and be a man only a fool would leave. Just stop rubbing her nose in it. The shame and blame will push her far away.
** Purple
As soon as you trust yourself you will know how to live. Goethe