Praise be to Allah.
It is not permissible for a man to touch the hand of a woman who is not permissible for him, because of the fitnah (temptation) involved in that. You have to avoid this and repent to Allaah from that. You can buy and sell with woman by words only. You have to fear Allaah and avoid that which leads to fitnah.
And Allaah is the Source of strength.
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