Am I killing my supply?

Your body will adjust to what baby needs. The more you pump, the more extra milk you will make. I never pump and my baby sometimes feeds once a night, sometimes 6 times a night 🙃 I only ever offer one boob per feed unless she still seems hungry and alternate boobs every feed. Your body is smart and knows when to make more or less milk. You’d be amazed how quickly it adjusts based on babies feeding! Unless you’re trying to build a freezer stash, there’s no need to pump ☺️

I’d suggest to still pump after the baby goes back to sleep. Once the baby hits 4 or 5 months old, reevaluate and decide if you want to drop the middle of the night pump session. I had to pump once or twice during the night to keep up my supply because I’m an under supplier. My friend who has a normal supply also pumped once at night until the 4 or 5 month mark. It can be tough to increase your supply once it dips down.

When my bub does random good nights like that, I personally like to pump whatever side didn't get fed off of if I think he will be asleep for another decent stretch. Just to keep things as balanced as I can. But you absolutely don't have to, and your supply will regulate to your baby just fine.