Listen to your heart.
It is your choice.
Offering to nurse is NOT wrong, it is not going backwards, it is full of emotional and immunological benefits for years more if that is your choice, and linked to higher intelligence even up to and past age 2.
I don't agree with society saying you only want to do it for yourself. It still has immense benefits to your child.
And if you want to let her be weaned that is your choice too.
Personally I would offer too, but that is your choice.
Take the time to heal from your marriage before you move on with someone else. Make a list of all the qualities you would like in a new partner and then work on growing that way yourself. ~mandib50