Generally, it's not something to worry about. It happens in the wild too. Just keep an eye on your snake. He should be ok.
It's not necessary to feed in a separate container.
When I used aspen for my babies, I saved the single serving ice cream containers, that I used for hides & feeding. I would just put th epinky/fuzzy in the cup, & they would go in & eat it.
I never had any problems.
The only time I have ever fed outside of the enclosure is special feeding attempts, for problem feeders. Other than that, I always feed inside their cages.