Will I be able to obtain a Top Secret Security Clearance as a recovering alcoholic?

I have been in recovery for 10 years, occasionally relapsing, but have had many years sober in between. When I relapse it is only for a day. Then I go long times without alcohol again. I also have recently relapsed and am sober a month now. I also suffer from anxiety. I see a counselor on a regular basis and attend AA meetings. I also see a psychiatrist quarterly. They both say I am perfectly fit and not a security threat. Honestly I am more in tune to my issues than most and am honest about it and do again seek weekly help.