I think I would be careful of making her feel like you "forced" her out of the house. She may want her space, but she also wants the kids. Telling her she already was only throws everything back in her face. Do you not have enough rooms in the house or is it really just too hard? It sounded like you had an "okay" conversation, so I'm just trying to understand.
I'm sure it's hard living in the same house during this, but if it's your suggestion that somebody move out, then it needs to be YOU that moves out. If she suggests somebody move out, then it needs to be HER that moves out. It's not fair for you to ask that of her and then add-in that she'd already left the kids. You wouldn't want it done to you.
I understand you say there is pressure. But I hear you saying you already forgave her, but your actions aren't quite congruent with that.
Maybe I'm off my rocker. I'm sure someone will tell me I am. I'm not saying she gets a free pass. But I am saying you still have to respect her and she still has to respect you in the house.
The kids need you BOTH. And they will never forgive the one who pushed the other one away.
mel
"Standing knee deep in a river and dying of thirst."
I'm not saying she gets a free pass. But I am saying you still have to respect her and she still has to respect you in the house. 
