Breastmilk question...research on the internet is unclear. What are your thoughts?

My baby takes a bottle of breastmilk before bed each night. I put it in his bottle, let it sit in warm water in a cup and then offered it to him. He proceeded to drink half an ounce and fell asleep leaving the other 4.5 oz... can I put the milk back in the fridge? I know I have 6-8 hours to use it at room temp, but it’s just been 30 minutes now it’s been out and heated to room temp. Moms?