The spinning wheel is a common symptom of a Javascript conflict with either your current WordPress theme or one of the other plugins you are using - see Contact Form 7 Email Issues - there is a link there that covers Javascript Conflicts.
In your case I suspect the problem is due to your use of Photographer Connections and ShootQ - either of these is probably not yet compatible with WP 4.0.
Step by step approach to finding Javascript Conflicts
1. Switch temporarily to a WordPress default theme (Twenty Eleven etc.) and see if the problem goes away.
If it does, you’ve most likely got a JavaScript conflict with your current WordPress theme.
If switching to default theme doesn’t help it could be one of the plugins you are using that is causing the problem.
2. Disable all plugins other than Contact Form 7
If doing that solves the problem, you can then add back each item – one by one, until you find the real cause of the problem.
You will need to disable, temporarily, ALL JavaScript, other than that from CF7, including anything in your theme (switch temporarily to a default theme), if you want to get to the source of the problem.