Question posed to Imaam Ibn Baaz
Q. Is it permissible for the women to slaughter an animal and is it permissible to eat from it?
A. It is permissible for a woman to slaughter the animal, just like the man, as has been authentically reported on the Messenger of Allaah (sallallaahu alayhi wa sallam). It is also permissible to eat from the slaughtered animal of the Muslimah or Kitaabiyyah (christian or jewish woman) who has slaughtered in accordance to the legislated slaughtering. This is the case even if there is a man present to slaughter in her place. The absence of the man is not a condition that must be met in order for her slaughtered animal to become permissible to eat.
Source: Fatawaa Al-Mar-ah Al-Muslimah V.2 pg. 487
Sisters Upon Al-Istiqaamah