This is a patient based website, and we share advice on here. The doctor one is at this link.
http://www.medhelp.org/forums/Asthma-and-Allergy/show/99
I had a bad infection half a year ago too, and the healing process takes many weeks. If you still feel symptomatic then your asthma is not in control, and you may need a higher dose temporarily till your symptoms subside.
I'm pretty sure though you can get the flu vaccine. I am for ever symptomatic and am on the maximum inhaler dose allowed on a long term basis and got my shot. I think if you have a fever then I would advise against it.