I am the same way and breastfed my first for 14 months. I dont feel dirty but it just feels awkward now and makes me very uncomfortable. I think partially because I had inverted nipple before and now after breastfeeding they are out.
Toward the end of breastfeeding my son (he nursed for 15 months), it was like "nails on a chalkboard" every time he nursed. It was extremely irritating, not painful though. That was my motivation to ween him. Hopefully it goes away and maybe it's just a sign that baby is coming soon?