Is it permissible to speak with a non-observant female neighbor in order to invite her to commit to Islam?

The trial of women is one of the greatest and most dangerous trials, as the Prophet, peace and blessings be upon him, said: "I have not left behind me a trial more harmful to men than women," and "Beware of the world and beware of women, for the first trial of the Children of Israel was in women." No one is safe from this trial, and even a righteous person may be tempted by a glance, hence the command to lower the gaze. It is advised to turn away from this girl and seek out one of the righteous women to invite her, as that is safer and further from suspicion, especially since she tempts boys.