I'm not a lawyer, you could ask one about recording conversations; however courts have spoken to this :

Recording conversations

With linked explanation.

So, I read it as if covering yourself, you are not doing anything 'bad'..... just my opinion.

And if I had to do something, I would be recording the conversation if in your circumstance.......... but I'm the type of person that would tell her that, 'oh, please, wait a second while I turn on my recorder so I understand everything you are saying and have something to refer to while working.."