Anonymous“ I think the modal "could" is used for the past of the modal "can" here.”
Yes.
Anonymous“Doesn't "could" express something she was able to do at a moment?”
Yes, in a way, but not exactly. The idiom "can tell" is like "know" (by observing). So if she "could tell", she "knew" (by observing). This is not the same as "find out", which is the more "momentary" counterpart of "know".
Anonymous“If so, would you say this is not within the domain of the modal "could" use (that is, not correct in terms of its use)?”
No. It is correct. There is no implication that she succeeded at anything. She did not literally succeed at telling anybody anything. In fact, she wasn't even trying to tell anybody anything. The idiomatic nature of "can tell" must be taken into consideration in analyzing this sentence.
CJ