The Sexist Detective?

P.S. For anyone who may have difficulty reading upside down, here is the “solution” text flipped up:

Am I missing something, or did he just rule out suspect #1 because women aren’t strong enough to murder? Not sure if this is a CIDU (because I’ve overlooked something) or just a gripe.

I don’t think I’m missing something when I complain that the Inspector rules out suspect #3, just because suspect #3 isn’t eating chicken at the very moment he’s being questioned. How does that make sense? Suspect #2 isn’t eating chicken when he’s questioned either.