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. We ask Allaah to exalt his mention as well as that of his family and all his companions.
It is permissible for the woman who is mentioned in the question to marry, however, she is obliged to inform whoever wants to marry her that she cannot give birth to children so that she will not cheat or deceive him.
Imaam Ahmad said about a man who is barren and who wants to marry: ''If he is barren, I prefer that he informs whoever he wants to marry about it.", and the same thing applies to a woman.
For more benefit on the ruling of permanent contraception, please refer to Fataawa 86253, 83516and 89857.
Allaah Knows best.