I also have asthma but I can safely say it has never been triggered by therapy. I
DID hyperventilate very badly once. T saw it happening and was able to work with me to slow my breathing down. It took awhile, but he got me through it.

Take your inhaler with you just in case. Let your T know that you have this concern. It probably will never happen, but if it does you will have the meds to handle the situation.