That is possible. I would try to disable all plugins, then only enable osd-subscribe and see if it works or not. I am not sure how or why another plugin would cause a problem, but I can see that when a user tries to subscribe, the AJAX request is getting a 500 Internal Server Error which can generally be linked back to a PHP syntax error or an error simply causing PHP to fail (which could be caused by another plugin).
If this problem continues, I would recommend switching from OSD Subscribe and instead use OSD MailChimp Forms. You can create a free MailChimp account and that will allow you many subscribers and the ability to send many emails at the same time. It is considered bad practice to have a plugin send emails itself.
I hope this information helps.