Your baby needs you to be the momma bear...
I wouldn't take him out and I wouldn't discuss it with an unreasonable / unmovable person. She wants what she wants, but you know what is best for your child(ren)... Just don't do it; it sounds easy and put into motion actually is. (I've found the secret to dealing with pushy, bossy, demanding people is to put on my rhino-skin and ignore it/them.) You can be a loving person and not be a doormat. Just think how awful you will feel if you little one picks up the flu and you could have avoided it.
:grouphug: