Can I be terminated because I smell like alcohol from the day before?

H R call me to the office to correct some paper work. When I came to the office the intern said that I smell like alcohol,I explan that I was drinking the night before in celebrating Father's Day with my husband. She ask me to go to the hospital to get tested. Nationally I tested positive from drinking the night before plus I drink heavy. After which she sent me home then later call me at home & told me not to report back to work til receive a letter which stated that I was having a hearing. Where I was told that I'll get another letter stating the results of the hearing, which was termination. mind you I was not drinking during work hours nor was I drinking on the job. My drinking only occured after work & on my days off.