Can't this sentence also be completed with khaayengee?
I think the word 'people' is a masculin noun, so even if it was a group of women, using लोग to refer to them entails you still need to conjugate with े.
दोस्त is also a masculine noun, yet we say मेरी दोस्त referring to a female friend. :-)
I think it's similar to how in Spanish "amigo" changes with gender, but "persona" is always feminine.
According to my partner who's a native speaker, the female version would be correct when referring to a group of women.
How i will ask- will these people eat?