Polysexual

Polysexual (sometimes spelled polisexual) is a sexuality defined by the sexual or romantic attraction to many genders, but not necessarily all. A polysexual person may, for example, be attracted to all genders except for men.

It's important to point out that polysexuality is different from polyamory.

Flag
The polysexual flag has three stripes, pink representing attraction to women, green representing attraction to non-binary people, and blue representing attraction to men.

Etymology
Poly- comes from the Greek prefix meaning 'many'.