This is a pretty good game, good job! My main complaint is that the presentation was a little confusing to understand. The tutorial was a bit lengthy and I think you could've found better ways to teach the player the primary game mechanics. Some enemies weren't introduced until later and there could've been separate levels to teach enemy mechanics. However, with the time constraints of the jam I can somewhat look past this.
The difficulty did also ramp up a bit too fast and overwhelmed me a bit in some places, but thanks to the x10 lives I was able to clear the entire game! For future projects, I would suggest creating a much slower difficulty curve and having more difficult levels much closer to the end.
I do like the idea of re-directing bullets that are not controlled by you, that creates a micromanagement type gameplay that is quite interesting and can be explored in a variety of ways. Personally, I would've loved to see the player ramp up in the number of bullets they're firing or fire different types of bullets. This would make the bullet redirection a lot less straight-forward and create different gameplay scenarios.
Overall though, a good submission! The gameplay and presentation just needs a lot more polish and development time, but the core concept is solid! I enjoyed this. Good luck on the jam :)