I wonder if it would be possible to send emails throughout the week or whatever?/ Then she can check and respond to the emails when she is available.

In the beginning of seeing T bout 5 years ago I would call her if I needed to. I agonized every time I called her because I would be calling her home number and she would never charge me for those times even when I requested she did. I finally decided to email her when I needed to. It works better for me that way.