Should Hosea and Hosea Just Let Their Bride Go?

Hosea gives the kids really rough names that point backwards toward the atrocities of the current dynasty of kings in the northern kingdom of Israel. Gomer then adds insult to injury by going and as some people view it, selling herself voluntarily into some kind of prostitution or slavery to somebody else. The question goes like this, should Hosea and should God just let their bride who voluntarily sold themselves into the darkest, most debasing, shameful type of slavery should they just let them go? Or should God and Hosea with their own resources, their own reputation go and buy back their bride from their own self-inflicted, debased slavery?