well, that is a pretty small set up, I think I would leave her in the dog crate next to coop until you get the run built. It does not look too far from done. A few days in the crate will be fine, really she will have about as much room as the two in your original set up.
Personally, I would keep that little set up, and add a bigger coop to that run, but I know, you have to deal with what you have. The small coop really is only big enough from the point of view of pictures for 3 chicken max, and if you were not increasing the size of the run, I think you would have trouble in that.