cagey
One reason for her caginess might be ignorance which she does not want to admit.
Clinical studies for new drugs are shrouded in caginess, but most of the companies say they will have results in about a year.
There was the usual caginess about the deal's value.

SMART Vocabulary: related words and phrases

Unwilling and reluctant
arsed
balk
baulk
be blowed if...idiom
be in no mood for something/to do somethingidiom
begrudge
disinclination
disinclined
disobliging
drag your heels/feetidiom
grudge
indisposed
indisposition
jib
rather you than meidiom
reluctance
reluctant
reluctantly
shagged
wouldn't

You can also find related words, phrases, and synonyms in the topics:

Secrecy and privacy