3 yr old with underarm oder

My daughter will be 4 in OCT and has stinky arm pits and has had them since she was about 3.. I mentioned it to out Pediatrician at my youngest daughters apt and he said it was odd but didn't indicate he would like to see her for this problem. He seriously just said "hmmm thats odd, she might just have to start wearing antiperspirant"

I'm having a hard time thinking that this is just odd. I don't think it is "normal" in the least bit for a child so small to have body oder. She bathes regularly, in fact she showers now instead of a bath. And I am gonna be honest here, I put deodorant on her before we go do things like gymnastics or dance or when she is around other children because I don't want her to be the "stinky" kid..

Could this be caused by the milk we drink?  We don't do organics at my house (not for any particular reason)..  I was wondering if maybe the hormones that they give cattle now a days can be causing this in my little girl.  I mean do the hormones get into the milk and the meat?

Am I NUTS to think that this is totally bizarre?

Is this actually common among little girls?

Should I take her to see a different doctor?

Should I experiment with the organics to see if that fixes the problem?

I'm just not sure what to do!  Thank you in advance for your help.