Could the feeder have been bad and caused this?
possible

How long after the regurge should I let her settle and not feed or handle?
i would wait till your next feeding cycle and get the food from your normal supplier

Do I need to adjust the temps (up or down) because of this? personally i would bump a few degrees warmer. keep the constant day temps.

Would transporting her pose a problem if I bring her to the vet tomorrow?
i do not see an issue with that

Any specific things I should look for as far as how she acts, etc?
keep an eye on her and see if she is acting normal.

I changed out the bedding in the tub. Should i replace it with cypress like I usually use or should I put in newspaper?
i would go with newspapper till you know better as to why she regurged

but definitly have a vet check her, i usually replace the tub as well, or a real good cleaning. but this is my 02