What is the ruling on touching a non-mahram woman, accompanied by remorse and a desire to repent, and is it permissible to marry her to avoid falling into what is forbidden, knowing that there is insufficient money to complete the marriage?

Residing in non-Muslim lands is not permissible except for one who is safe from temptation and able to observe the rituals of his religion. Love is an ailment that one must avoid its causes. Among the most beneficial remedies for what the questioner is suffering from is marrying that girl, if possible. If it is not feasible, then he must be patient, supplicate, fast, lower his gaze, perform good deeds, avoid prohibitions, and associate with righteous people.