you will be able to answer my question. I would like to know, besides repenting to Allah, is there a certain punishment a sister in Islam should receive for having an Abortion? And,if so, who carries out the punishment?

Praise be to
Allaah.

She has to repent for deliberately
aborting her pregnanacy after it had been created, because aborting
it is haraam and is not allowed. Once pregnancy is known, it has to
be protected and it is haraam for the mother to harm it in any way,
because it is a trust which Allaah has placed in her womb, and it has
rights. So it is not permitted to treat it badly or to abort it.

See al-Fataawa al-Jaami’ah li’l-Mar’ah
al-Muslimah, 3/1052