Actually a separate room wouldn't have done anything. Delta can't (and shouldn't) restrict this. Maybe there should be a room you could have gone to and not looked. But then again, a mother is perfectly allowed to feed there too.
Ga. Code § 31-1-9 (1999) states that the breastfeeding of a baby is an important and basic act of nurture which should be encouraged in the interests of maternal and child health and allows a mother to breastfeed her baby in any location where the mother and baby are otherwise authorized to be. (1999 SB 29, Act 304; 2002 SB 221)
http://www.ncsl.org/default.aspx?tabid=14389