@designerjulie Welcome to Mayo Connect. I hope you will find us a helpful group in your search for answers at this trying time.
As for whether you need a doctor's care, absent fever or other symptoms, you should not go to the doctor. If you get worse and develop a fever, you should call your doctor - current recommendation is to stay home, call and get advice.
If you use your regular asthma meds and any others you are prescribed, and they do not help, you should call for advice. Be sure to take your temperature before you call, because the triage nurse will ask you for an exact current reading.
Do not be surprised if you call and are told to stay home, that you will not be tested for Covid-19 right now. In many places, test components are in short supply, and only certain people are being tested. This does not mean you are being denied care - simply knowing whether or not you are positive doesn't change the treatment. Treatment is rest, fluids and isolation. In general only those with pneumonia symptoms are being seen and possibly hospitalized.
I have asthma and bronchiectasis, a chronic lung disease. My pulmonologist and primary care provider both told me to maintain my treatment regimen faithfully, on the theory that keeping my lungs as healthy as possible will help me fight any virus or infection I may encounter. And to stay away from people to avoid catching the virus.
If you live where Spring is beginning, you may be feeling the effects of increasing pollen in the air, is that possible? Also, it is possible for increased feelings of anxiety to make asthma symptoms feel worse, and these are certainly anxious times, so it is important not to panic.
Stay positive, stay safe, and come back to us if you have more questions.
Sue