Logo targeted for the gay community

This is what a business in United States was looking for in their graphic design

We are looking for a logo that is targeted for the gay community. The name of the company is Apollo and Cinth. You can use just lowercase letters or & symbol as an option. If possible we would like to incorporate discus shapes. For example the "o" in Apollo can take the shape of the discus. We must have some form of the gay flag or rainbow colors in the logo. Instead of using the straight primary colors we prefer soft, muted,a variation or vibrant colors (just something different) but still recognized as the rainbow sequence. It has to be clean and elegant. It also has to be prideful and give a sense of professionalism. Read more