The voluntary or involuntary act of progressing a situation or discussion into a state of awkwardness towards the male reproductive genitalia or “cock”
"Becky, don't bring up his ex-girlfriend in front of her. You're making shit cockward."
Definitely. 1: somethingawkward that happens in the genital region,; definition 2: behavior that a created a socially uncomfortable situation emerging from white male privilege.
Oh, did I just mansplain that you. I am sorry! So cockward!
Oh, this phone is propped between my thighs suggestively. COCKWARD!