Removing to possibility of making money out of it makes it's non-free.
It's a restriction of:
-Freedom0: The freedom to run the program as you wish, for any purpose.
And
-Freedom2: The freedom to redistribute copies so you can help others .

“Free software” does not mean “noncommercial”. A free program must be available for commercial use, commercial development, and commercial distribution. Commercial development of free software is no longer unusual; such free commercial software is very important. You may have paid money to get copies of free software, or you may have obtained copies at no charge. But regardless of how you got your copies, you always have the freedom to copy and change the software, even to sell copies.

A free program must offer the four freedoms to any user that obtains a copy of the software, provided the user has complied thus far with the conditions of the free license covering the software. Putting some of the freedoms off limits to some users, or requiring that users pay, in money or in kind, to exercise them, is tantamount to not granting the freedoms in question, and thus renders the program nonfree.