It may be a problem for you; the AME will have to forward your paperwork for a decision with Oklahoma City.
I'm an asthmatic. The key to being an asthmatic without answering questions is that you had childhood asthma that ended at age 12. Otherwise, documentation may be required to satisfy the FAA.
When people have questions regarding the medical, I usually refer them to Pilot Medical Soloutions at
www.leftseat.com.
When I was a kid I approached a medical examiner for my first medical, and was denied. He took my money, and whe he found I was very sensitive about having things placed in my eyes, and that I had asthma, he tore up my application and told me to get lost. He told me I'd never be a pilot. He kept the money.
I got upset, and told him I wanted to let Oklahoma City make that decision. I underwent the medical exam, which he promptly showed me flunking, and then forwarded it to Oklahoma City. I handled coming up with the documentation, and wrote letters on my own behalf as well as obtaining physicial statements and medical records. Ultimately I got a clear medical without waivers. I've done the same thing with other conditions since that time, and still hold an unrestricted first class medical.
The fact that you're taking medications indicates that the asthma itself may be a problem, as well as the issue of the meds themselves. Again, a good place to start will be leftseat.com. Another poster recently had questions regarding a medical matter, and made the decision to seek counsel with AOPA first, due to the cost, and the with Leftseat. Probably not a bad way to go.
If your asthma is mild, I'm sure you can probably get a waiver, but ideally you want a clear medical with no waivers. Check into it thoroughly before you approach an AME. Good luck!