Collocations for coy - adj.

be
play
go

all, extremely, very
He went all coy when I mentioned her name.

a little, slightly, etc.

be
remain

extremely, fairly, very, etc.
a little, slightly, etc.
Alicia was a little coy about how much the new dress had cost.

uncharacteristically

about

Coy is used with these nouns:
look