Most HCPs I know who are in recovery got there for DUI's, pills, etc... While it's possible kiki, there are many people involved in providing health care at any given moment.. and impaired HCPs stick out...
I wouldn't worry too much... But your reaction, which is perfectly understandable and reasonable, is exactly one of the reasons it's so hard for HCPs to seek recovery and come out of the shadows... and why there is so much stigma...