Most times thos Gauntlets are designed to help deflect a sword blow by cushioning it. This means the Blow it's self is soffend to the point its still going to hurt, but not risk cutting off a finger.
The answer (Which I can't answer for) will more then likely be this, the Gauntlets are fitted, meaning very little wiggle room, and the padding inside will be there. So it will still hurt, but on the same side its not going to hurt as much as you think. (Worst case you hurt yourself leaving a mark.)
One: How loose are those gauntlets?
Two: Is there any padding in them?
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If the answers are (Any), and (No), Her hand will still hurt.
A lot.