Breastfeeding offensive?

I have been talked to recently about my breastfeeding at church and at Bible study. They say it makes someone uncomfortable when I breast feed. Now know that I always cover while at church except when I was just with ladies and I try hard to not draw attention though sometimes it is impossible not to.
The point of this post is not to point fingers or anything but I am surprised at how offensive people think breastfeeding is. God made my breasts to make milk for my baby and you find that offensive? I guess I am bothered that young ladies or any ladies for that matter may come in with a low cut top and/or mini skirt and not be ask to cover up but I sit down cover up and nurse and I am the one that is offending someone?! Why is it so backwards. I believe in modesty so I cover up or nurse in a way that you can see very little. I am not saying we should go around in pull out our boobs to make a point. I am just saying we should see this as a beautiful thing that God created! Isn't amazing that we as women can make a baby, deliver that baby and feed that baby without needing anything (but of course our husbands)! (I know sometimes you can't have a natural childbirth or maybe breastfeeding doesn't work for some reason.) God made our bodies to do amazing things and I will continue to feed my baby the way I believe is best and I shouldn't be made to feel bad about doing it.