Hi, Tanja. Sorry to hear that you had such a stressful day. It is really bad aftermath of holidays - people drink and then make life of the close ones tough.
I don't have pets now, but I had a dog for 15 years, and it would be tremendous stress for me if I had to get rid of it. I hope once influence of alcohol ends, your husband will change his mind. Sometime people don't even remember what they say or do when were drunk.
Maybe, you can find some local or internet community where someone can give you a good advice how to deal with the situation when a pet and a member of a family have some issues together? I just don't know much about this.
I hope things will be easier for you soon. Take care.