At that size, a single medium rat (or two smallish small rats) once/week is definitely plenty. I wouldn't worry about offering again tomorrow at all.
She seems hungry because she's still in feeding mode. They're programmed to eat a bunch when it's available because they don't know when their next meal is coming - not necessarily because they're actually hungry. As long as you're feeding an appropriately sized meal, once per week is a good schedule to start out with. You may even find that every 10-14 days is better for her. They're all a little different and it's up to you to learn what she needs.
EDIT: There's nothing inherently wrong with feeding outside of the enclosure as long as you have good results doing so. Don't try to fix what's not broken.
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