I believe she won't tell you because I don't know that there is "too much". She can read emails at her leisure, she can choose to respond or not. She has power here too. I mean I'd try not to just send her 18 emails a day with tiny snippets. But there's been times I emailed my T 3x in a day, because I started an overall summary email. Then something happened mid-day. Then I had a hard time at nighttime (typical for me).
But my T and I have always used electronic communication frequently. I just have to know it may take her a while to respond.