This girl is swears she is pregnant with my baby?

This girl showed up at my apartment the other day and told me she was pregnant with my baby. I don't remember seeing her before but she told me we met at a party and got drunk and then had sex. asked her which party and she mentioned a party of a friend that i was at. I have had a lot of drunken sex in the past 3 years since my divorce. I got her number and told her to call me if she needs anything. I'm scared to death i am an alcoholic and i recently started attending AA to get my life back on track and win back my EX wife Stacy's love and trust of my 6 year old daughter. Monday was my daughter's 6th birthday and i promised her i would attend but i got so drunk the night before i had a horrible hangover and forgot. I finally hit rock bottom and decided to check into AA. I can't being having a baby it will screw up everything i want back. What should i do?