I'm going to buy my 14 year old daughter alcohol so she can party.
That sounds like a poorly thought out plan. Why would you buy your underage daughter alcohol?
I want her to have some fun, and this will help her be less anti-social
Alcohol can be very harmful to anyone, but especially to a child whose brain is still developing, so you shouldn't be giving it to kids. Furthermore, you are teaching your daughter that drinking will help make her popular, and this is a very dangerous lesson to give to a teenager.
So then how else am I suppose to get her to like me.
There are better ways to improve her confidence so that she's less anti social than alcohol. Alcohol is a temporary solution that can lead to problems down the line if she relies on it. Why not take her clothes shopping or to a beauty salon to help give her a look she can feel confident about?