Do females have testosterone hormones?

yes

Explanation:

Testosterone belongs to a class of male hormones called androgens. But women also have testosterone. The ovaries produce both testosterone and estrogen. Relatively small quantities of testosterone are released into your bloodstream by the ovaries and adrenal glands.

the unequal cytoplasmic division that  results  in  one egg  and three polar bodies ensures that a fertilized  egg has  ample nutrients  forits journey  to  the uterus.