Rhys is not the most common spelling and just because you spelled it that way doesn't mean everyone is going to know how it is pronounced, you'll just have to deal with it. It really drives me up a tree when parents choose an unpopular spelling or pronunciation of a common name and then get offended when it is mispronounced. I think if you're going to choose an unpopular spelling or pronunciation of a name you don't have the right to be offended when people mispronounce it because it's uncommon and it should be obvious that people will mispronounce a name like
Rhys.