Learn Hardcore Russian: Моя дочь любит самостоятельно делать уроки без моей помощи. - My daughter likes to do her homework independently, without my help.

Кто любит? – моя дочь. (Who likes it? – my daughter.)
Subjects in Russian normally appear in the nominative, so we use моя (nom. fem. sg.) + дочь (nom. fem. sg.).

Мою дочь is the accusative form and would be used if my daughter were the object, e.g.:

Я люблю мою дочь. – I love my daughter.
(Here I am the subject, my daughter is the object.)

In your sentence, my daughter is doing the liking, so nominative моя дочь is correct.

Why is it любит делать, not любит сделать?

Russian uses любить + imperfective infinitive to talk about general likes, habits, preferences.

The verb делать is imperfective, which is the default form for:

Сделать is perfective and usually focuses on one complete result:

Любит сделать is almost never used; it sounds wrong or at least very odd in this meaning.