Often, you cannot save those who are determined to destroy themselves, and at this moment, Konan felt that Jiraiya was precisely that kind of person.
If Jiraiya had been sensible and retreated right then, she would not have minded turning a blind eye.
However, her subtle signals were wasted like trying to play the lute to a cow. Jiraiya completely failed to grasp her meaning, or perhaps he understood and simply chose to ignore it.
Chapter 350