If your LO only eats on one side in the middle of the night, do you pump the other side after he/she goes back to sleep?

LO is 6 weeks and starting to sleep longer stretches at night. Last night, I pumped at 9:30, DH gave her a bottle at 10 and then she slept til 5. She only eats on one side at each feeding, so she ate on the right side and we went back to bed. But the side she didn't eat on is obviously very engorged and now at 7:30am, she's still sleeping and I'm pretty uncomfortable. I hand expressed a little bit, but I'm afraid to pump and then she wakes up and is hungry.

So will my body eventually adjust, or do I need to pump that other side in the middle of the night to protect my supply?