Squawkward

A term used to describe relationships, usually of a sexual or intimate nature, between a human male, or female, and a bird of prey, gender unimportant (hawkward) that is so hawkward the awkwardness is squared.

In the Young Audience series Animorphs by K.A. Applegate (published by Scholastic Inc.), Tobias (who is a hawk) had to explain to his uncle (who is an alien) the purpose of kissing, though neither of them had lips; this was a squawkward moment.