The first few times breastfeeding in public can be a nerve wracking experience for many mothers. Of course, you can feed your baby without showing hardly any skin at all, but nursing covers and babies don't always mix. Thats why it's wise to remember that if you are feeling anxious, there are more than a few things that are more important than worrying about what other people think of you when you're breastfeeding.
Personally, this aspect of breastfeeding never really bothered me. I grew up in Europe, where topless sunbathing is common and cultural ideas surrounding nudity are, well, different. I even performed as a burlesque dancer for a time. So the exposure of a nipple is really no big deal as far as I am concerned, especially when it's being used to nourish a baby.
I understand the worries many moms have when it comes to other people's views about breastfeeding, though. The topic is nothing short of "heated," because it touches on a lot of different sensitive subjects, like our children, our parenting, and our bodies. However, I suggest all breastfeeding moms stop, take a breath, and remember there are actually a lot of other things that are more important than worrying about what other people think. Easier said than done, I know, but it's worth remembering regardless.