R.J.
I actually know a lot of mum's who their 10mo olds started climbing out, even with the mattress on it's lowest level. Climbers! (And friction on sticky determined little feet)
If I had to guess, I would bet yours won't climb for awhile after that scare...so for the time being...I wouldn't get ahead of myself.
We kept our son in his crib until he was 3, because he WASN'T a climber, and it was hands down the safest place for timeouts.
If you are going to transition, the most important thing is to make sure she can't get out of her room at night...so that means in addition to toddler-safing her room, that it's time to gate the doorway. For true climbers single gates are no hindrance. Up and over they go. So if she's showing signs of needing a rappel rope later in life I'd go for either two gates, one on top of the other, or a large Great Dane style dog gate.
That fall may have scared the climb out of her though, so I'd wait before doing something new unless YOU are ready.