This cannot stiffen. But this will be improved in the future. They find it more important that they can urinate standing than that they cannot penetrate a woman. Many expect that they will get a more perfect female body than they do - a body with plump skin and no hair. Outside, in public, they can attract attention and some people jeer at them.
Society demands much higher standards of appearance from a woman than it does from a man.
Coping with that takes some doing. Women are much more tolerant of transsexuals. They are prepared to have a relationship with a man who was formerly a woman. Companionship in marriage doesn't go away. I don't know exactly why women are more tolerant than men.