Hello Chicklet,
You are certainly not alone.
I felt the same at day 3 - enough alcohol was still in my system during the first 2 days and day 3 began with my body adjusting to the absence of it. If, at any time, you're concerned, call 911. Good idea to check with your primary dr too.
You will feel better. Remember that picking up now would just cause this sick feeling all over again, and very likely, it could be worse next time.
Stay hydrated and rest, rest, rest. Don't eat anything you can't pronounce (ie, saturated preservative foods).
As for support - stay connected here - we know how you feel and have been there. As for outside f2f support, given your apprehension to be noticed, check with alcoholism counseling within your community. I did outpatient counseling one night each week for the first year and my counselor changed my life. He was professionally trained and also in recovery for many years. It's discreet, he was still required to uphold the anonymity of our sessions, etc. - it was live saving for me.
Take care of you! It does get better.