Is the wife sinful if she abandons the bed of her husband who is addicted to drinking alcohol, and should she seek a divorce from him?

There is no sin upon you for sleeping in another room to avoid harm from your husband who drinks alcohol, for "there should be no harm nor reciprocating harm," and harm is to be removed. If there is no harm, then you must obey him in what is good, for disobeying him does not negate his right to obedience. You do not sin by staying with him if you are safe concerning yourself and your religion, and your duty is to advise him and clarify the danger of his actions. There is no blame upon you for seeking separation from him.