This is not a programming answer, and might be a bit off topic, but I have released a few apps with similar functionality, and have seen the same thing.
I have also talked with a few of the users who have sent in empty emails, and have learned that sometimes they sere just trying out the various functions of the App, and sometimes they get to the feedback page, but don't want to take the time to type out an email on their phone.
I would think of this as more of a customer service problem, and less of a programming challenge. I would use the opportunity to follow up with the users who send the empty emails. (At least now you have their email - if you don't let them send the form without a body you will likely never get it.) One option is to send a standard follow-up email that says you received an empty email from them and would love to hear their feedback on your product. (Perhaps even send them a quick survey) .