Course requiring students to use Examity
Yet it has been 2 days since this email has gone out and my professor has not retracted the statement on the course website that we will be using Examity.

I think your concerns are reasonable.  But I think you should give your professor a few more days to react.  Keep in mind that professors may get thousands of emails.
You could write at a later date:

Dear Prof.,
I appreciate your efforts to promote exam integrity, but I prefer not to use Examity because I am concerned this company might take my private data.  Dean Whatsit said using Examity is discouraged.  May I take the exam without this software?
Sincerely,