Using 14-3 wire and not connecting the red wire OK?
If you have not used it maybe you can return if it was not cut wire. I have used xx-3 wire in some areas of my home example switch box on both sides of the door total of five switches and was not sure what ones I wanted where so I ran 14-3 in case I wanted to move one to the other side in the future.
Please ask me about my special discount for people that shut up and stay out of my way! With Electricity there is the right way to do it and the dead way. Just because it works does not make it safe.