PButton, I gather from you post that the email you sent was related to a need or problem you were having. That's a legitimate reason for sending an email, and it certainly doesn't make you needy or whiny.
Me? I was in a weird mood last Saturday, and fired off an email to T stating that I hated him, hated doing therapy with him, found fault with his therapeutic methods. That I hated disclosure, hated being put in a bad mood each week by sharing my life and my secrets, blah, blah, blah, on and on. Most of this, of course, wasn't true, just a result of a very bad, weird, stressful week that found him as the target.
I'm horrified at what I wrote, and embarrassed to even see him this Friday. My point? At least your email had merit and was written in response to a true need on your part. Mine was pure babble and now I have to try and dig myself out of the hole yet again due to zero impulse control.
So be proud you were able to communicate your needs - you weren't whiny at all