Running to safety doesn't make her a damsel. Damsel just means a young woman or girl.
In literature and film, a damsel in distress refers to a woman who is placed in a dire predicament and requires a hero to achieve her rescue.
Giving her armor allows her to save herself, without the direct intervention of the hero (Iron Man).
Originally Posted by The Infernal
Giving her armour doesn't automatically make her less of a damsel (which she hasn't been in the last two films). Especially not how you seem to define her and the suit. If anything you seem to be reducing her to the role of damsel as Rescue and therefore the armour under those conditions seems to be a backwards character development.
I think you are using the term damsel incorrectly.