A woman will feel emotionally safe with a man who is emotionally available, honest, trustworthy and authentic. These are emotional character strengths she can respect and admire in a man.
A man of character and emotional depth is a man who knows who he is and likes himself. His love for himself is so strong he does not need to gain the acceptance of others by trying to be something he is not.
His strength is not physical so much as it is in the clarity of his mind and emotions. These are character strengths that a woman not only admires, but feels safe with. He is not a weak man that will bend to the whims of other people.
She can trust him to be who he is. This kind of man is described as being in his emotional integrity. --- Gary van Warmerdam