just to clarify… R’ Ovadia writes that if he sees she has yiras shamayim in other areas, he does not have to break off the engagement.
covering with a hat/scarf is a beautiful thing, and according to many is an ideal – the woman is sacrificing for Hashem. personally, i’ve been married for five yrs. both sides of the family are all “wiggers” but i wear a hat. i find that if you feel comfortable, pretty, and confident about it, it ceases to be an issue. for a lady to daily be uncomfortable with her appearance is not healthy, and she wont be happy.
R’ Ovadia does write that a lady who works and can’t wear a hat can wear a hat-fall.
good luck!