How can a woman fulfill her mission of reconciling disputes if she faces problems with her relatives who treat her with contempt, thus preventing her from inviting people [to Islam] and reconciling them?

A Muslim's mission in life is to achieve servitude to Allah, obey Him, abstain from disobeying Him, and invite people to do the same. Reconciling disputes between people is one of the greatest acts of worship and obedience. This requires sincerity to Allah and patience in the face of harm and rejection. One must mend relations with their kin and be patient with them. If there is no response, their rejection does not harm him, nor should it prevent him from striving to reconcile others. If he is unable to reconcile, there are other good paths. One must enjoin good, even if he does not practice it himself.