All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
There is no difference between a man and a woman concerning the rulings of offering a sacrifice. Therefore, if your parent on behalf of whom you wish to offer a sacrifice is alive and he/she entrusted you to do so, then this is permissible. Likewise, if he/she is dead it is permissible to offer a sacrifice on his/her behalf as already explained in Fatwa 83800.