I totally understand, but I don't really know the answer. Men who are more aggressive (in an appropriate or inappropriate manner) tend to be more successful.
So, as a man, your options are to:
1. Ask fewer women out so that you are more respectful. This likely means you'll have less success dating.
2. Ask more women out, even in environments that might be uncomfortable, e.g. a server, co-worker, etc. They're going to have more success dating.
Again, I totally understand this sucks for women, but men don't have great options here either.