How do you say in turkish:

Why my father does not love me?

you dont think in your daughter?

My try at - Why my father does not love me?

 babam neden beni semiyor ?

p.s did you mean believe for the second sentence -  you don´t believe in your daughter ( or better - don´t you believe in your daughter?)  . I could not make sense of "you don´t think in your daughter".

...sevmiyor? 

 haha yep its to early for me, typing error

Reyhan by any chance ?

I think neden has to be first... neden babam beni sevmiyor ?

The second can be :

Kızına İnanmıyor musun?

But wait for natives.

Maybe Leylak meant:

´Don´t you think I´m your daughter?´ or even maybe ´Don´t you think she is your daughter?´

(As in the father doesn´t love her because he doesn´t believe she is his genetic daughter) 

gülümseme´s version is correct too.

You can place neden either in the beginning of this sentence or before beni or before sevmiyor:

neden babam beni sevmiyor?

babam neden beni sevmiyor?

babam beni neden sevmiyor?

You can place neden either in the beginning of this sentence or before beni or before sevmiyor. But there are stress differences between these sentences.

neden babam beni sevmiyor? =stress on the cause

babam neden beni sevmiyor?= stress on ´me/beni´(ex:not me but others)

babam beni neden sevmiyor?=stronger stress on the cause.