You got sober and then you got fired for smelling like alcohol. And then you drank. Right? I don't imagine that drinking helps.
I was fired from three out of the four jobs I had during my three-year relapse due to drinking. (Or was it four out of five?) Three (or four) of them were at major university/hospital research centers. The remaining job was working in a group practice, where I was sane enough to leave before it got out of hand. Totally humiliating in each case, particularly letting go of my patients, but it was the thing to do. I ended up working a minimum-wage, dead-end job so that I could drink around the clock. And then got fired again.
Burned and buried a lot of bridges in the process, and it's taken a great deal of time and effort to get back to working in my field. Today, I couldn't be happier.
It always sucks when you're asked or told to leave, more so when it's due to our drinking and/or our drinking behaviors.
Life has given you an opportunity. What happens next is up to you.