I played your game, here is my feedback
Sometimes when I clicked it didn't shoot not sure if there is an invisible cooldown period but it was a little frustrating. In general the controls where a little slow in response, a lot of the time I was just flying will facing the same direction because moving the mouse didn't have the speed I needed. So maybe a setting for that
I got to Wave 3 without ever destroying a Hive, if your going for a Wave feel then having a Wave end after a Hive or 2 being destroyed with some time to breath in between would be good.
It was hard to tell when I killed the enemies, the health seems a bit high. Maybe having some variety in enemies with different health.
Are there upgrades? Missiles? I feel like it needs that
The background moves on the main menu but its static during the game, it should move when the ship moves to give it a depth of field feel
When you take damage and the screen has that red effect sometimes it goes away and other times it stays. If you want the effect to stay when at lower health maybe having it get opaque after a time as it takes up a lot of the screen and makes it harder to see