would not (negative auxiliary)

Would be willing or glad (to have).

(informal) Expresses dismay or annoyance, especially at misfortune.

(idiomatic) Alternative form of wouldn't you know it

(slang, transitive) To not find (someone) sexually attractive; to be unwilling to have sex with someone.

Synonym of wouldn't hurt a fly

(idiomatic) To find incredibly horrifying; embarrassing or otherwise entirely unsuitable for oneself.

Alternative form of wouldn't be seen dead

(Australia, slang) Is lazy.

(Australia, idiomatic) To be frugal or miserly.