I can't imagine Yeoman Colt lasted long on the Enterprise after the events of The Cage.
For starters, things would have been extremely awkward between her, Pike, and Number One. And she was at the very bottom of the power structure of that particular triumvirate.
Given that both would have to go on working in close proximity with Pike, I could see an underlying, unspoken tension (and perhaps even antagonism) mounting quickly between Colt and Number One. Again, given that Number One probably has a large say in personnel assignments, Colt is going to find herself transferred off the ship during the very next starbase visit. And I could easily see all three of them breathing easier after the fact.
This is just one more example of why relationships between service members are a bad idea, although in this case it was forced on them by the Talosians. Still, thoughts were laid bare, and inner hearts exposed. It's not even inconceivable that Number One would have left the Enterprise not long after these events, SNW notwithstanding.