You are not alone and this is completely normal and nothing to worry about.
Why do I do it?
I had mastitis in one breast and my baby refused to nurse from it. I tried in vain several times but it didn't work and all I got out of it was that my child was upset and I couldn't handle that. Therefore, I decided to breastfeed him with the breast he preferred.
Yes, at first I felt abnormal, but over time I became more indifferent as I could see that I was meeting my child's needs and that he was getting the nutritious milk he needed.
