Asthma normally involves trouble breathing on the exhale or inhale and exhale. Vocal chord dysfunction is a more likely problem.
It uses speech therapy to work through problems. Most doctors don't know that much about it so best is to do some research and bring it to the appointment with you.
Good luck.
You really need to go to a clinic and get a full pulmonary examination.
What Tammy2009 suggested is likely, but you won't know for sure until you get a professional evaluation. You need a physician to auscultate your lung fields anterior and posterior, four quadrants.
Not a "rush", but put this on your list of "things to do."