3. Places his hand over you shoulder
Guys have this trend of putting arms around their girl's waist but a man who loves and respect deeply would always put on his caring arm your shoulder.
He would shy away from holding your hand in public not because he doesn't want to but because he loves you and is maintaining respect for you in public.
Women often feel that men who avoid holding their hands in public have second thoughts about them. But that's not the case, a man who's deeply in love with you doesn't have to hold your hand in public, his caring gestures would prove it to you.