Besides surgery, how can I fix inverted nipples? (photo)

Inverted nipples can absolutely and permanently
be corrected by a surgical procedure. Most procedures do not work except the one
where the nipple ducts are divided and the nipple is re-sutured. This does
prevent breast-feeding. This is an office procedure that works excellent. I
have had several patients who everted their nipples and placed jewelry through
their nipples such as a post and were able to breast-feed, but this will not
maintain nipple eversion once the jewelry post is removed. Otherwise, nothing
can be done to permanently evert nipples other than these two methods. I hope
this helps.

I've seen minor nipple inversion respond to a breast pump. Your inversion might be too deep, but you could give it a try.