Perhaps radical feminists will want to crucify me, but I strongly believe that if father is present in the family, he does influence his daughter's image of herself, her emotional and intellectual development even more than mother does. He's not just another family member but also the model (or the anti-model) of the girl's future partner. I think, no normal father wants his daughter to be abused in marriage or romantic relationship. Normally, he would want his daughter to be treated like a lady. If so, he should learn to treat her like one. The earlier the better.
Since my teenage years, I've been enchanted by Bernard Shaw's "Pygmalion" telling the story of transformation of a totally uncultivated lower-class girl Eliza Doolittle into a polished lady with beautiful manners and impeccable pronunciation. Despite the endless hours of classes with the rude and ungentlemanly Professor Higgins, this transformation would be impossible without Colonel Pickering's participation. While Professor treated Eliza like a "guinea pig", Pickering initially treated the girl like someone belonging to his social circle, thus inspiring her to continue the studies and to set the bar higher.
But what does happen if a girl is physically or emotionally abused in the family, especially by a man? Either she will find it normal in the future, falling prey to one or several abusive lovers/husbands. Or she will be ready to fall for anyone anyone who seems (but not always is) more loving than her tyrannic or rejecting dad. Sad as it is, even in the 21st century a young girl's self-esteem is largely dependent on her body image, and she it's still important that others find her beautiful. To hear "you're fat" from your mom hurts much. But to hear "you're fat" from your dad and to be mocked on this subject is a disaster, when you're in your teens or younger. I don't claim that being mocked, called names or hit will inescapably make you a wreck and a loser, but one should possess a particularly strong character to overcome the consequences.
I know a girl whose dad went to live in the kitchen since the day she was born (yes, the family lived in a one-room apartment, cause housing conditions in Russia leave much to be desired), for the child "made too much noise", as all normal children do. He has never cared for her or something: most of the time, he ignored his daughter or was rude to her and her mother. They have almost never normally talked. Despite this, the girl studied a lot, she brilliantly knows three foreign languages and teaches them. At 27, she bought herself an apartment without getting in debt. No fucking mortgage, it's something rare nowadays. But her self-esteem troubles are great. Though smart, she doesn't look for a better-paid job, cause she doesn't believe she's really worth it. She cannot start a normal relationship, always falling for someone toxic. For quite a long time, she neglected her health and her appearance. It has been hard to convince her she's really able to start a better life.
As for me, I've never been neither smart enough, nor pretty enough. I had been convinced I was something worthless, clumsy, silly and explicitly unpretty until I turned 28, divorced my husband and had an opportunity to analyze my life and my motivation. All my life, I strove to be a beautiful princess but saw a toad in the mirror. Every guy who was nice to me and showed any interest became a god in my eyes. When in the university, I measured my success in attention from men. Now matter how good my academic or professional performance was, it was extremely important to have anyone by my side who found me attractive. I was ready to sell my body and soul for a couple of sweet words and some primitive signs of attention that I took for love. It ended with a toxic marriage that I would have avoided if I had had a greater self-esteem in my young years. Fortunately, I haven't been beaten by my husband, but once he threatened to hit me, I immediately left.
Briefly, respect and acceptance in the family should be a norm, not a "birthday gift". I don't mean you should never forbid anything to your daughter or immediately buy anything she wants. Surely, there should be rules or restrictions obligatory to everyone in the family. But hell, it's better to have a "spoilt" child than one who gets dumb from fear as soon as you enter the room.
if you want her to have a happy life in the future, she should know that her opinion matters, that she won't be despised for a failure and, of course, that she's the most beautiful creature in the universe, if even she looks different from Victoria's Secret Angels.