Teenage depression can become serious and potentially deteriorate towards suicidality if not addressed. Ask him how he would like his daughter to look back on this experience. It is up to the two of you to work through what kind of family the two of you want to have together. Accept your husband's feelings. But ask him for positive suggestions to this dilemma, rather than only negative reactions.
Adolescence is never easy on a family.
Our children's emerging identity thrusts the family system towards inevitable change. Accommodating the changes inherent in adolescence requires nothing short of transformation. Your daughter's quest to identify herself has been particularly poignant to the observation by many family therapists that this stage in the family life cycle requires a metamorphosis of the family system. Ask your husband to remember his marital vows to be with you in better times, and in worse times. Invite him to come back to the marriage and take his place again by your side.