Is it permissible to lie to one's family about the details of marrying a Muslim woman (such as her virginity and where she was met) to avoid their anger?

The correct solution for such a situation is to use ta'rid (ambiguity) and tawriyah (equivocation), which is uttering words that bear two meanings, one of which is apparent while the other is intended. This is a type of deception that is permissible when there is a need, a preponderant legitimate interest, or an unavoidable necessity. If there is no interest or necessity that calls for it, then it is disliked but not forbidden. It becomes forbidden if it is used to seize something unlawfully or to prevent a right.

If ta'rid is not possible and you are faced with either frankness or lying, then lying is permissible to remove animosity between the wife and the family, and to foster goodness between them, based on the saying of the Prophet (peace be upon him): "He is not a liar who reconciles between people, narrating something good or saying something good." And because it prevents the harm of defaming the wife, abusing her, and revealing her privacy after her repentance and conversion to Islam, provided that it is the only means to avert this harm.