A family consists of $6$ members A, B, C, D, E, F. B is the son of C, but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of A. How many female members are there in the family?

Let's deduce the gender and relationship of each family member systematically:
1. B and C: B is the son of C $⟹$ B is Male. C is a parent, but since C is not the mother, C must be the Father (Male).
2. A and C: A and C are a married couple. Since C is Male, A must be the Wife (Female).
3. E and C: E is the brother of C $⟹$ E is Male.
4. D and A: D is the daughter of A $⟹$ D is Female.
5. F and A: F is the brother of A $⟹$ F is Male.

Now, let's list the female members identified:

* A (Mother)
* D (Daughter)

Thus, there are exactly $2$ female members in the family.