I think she should start with a walk and then switch to a jog after a few seconds as you keep going. With a D pad that's how I would do it. Jogging constantly seems strained to me and unnatural. Like in OOE.
It gets weird when you move super short distances or in little bursts, like a a few feet relative to the character. Going into full blown jogging in those situations.
Obviously analog stick moving works good for that. But I can't stand analog stick movement in side scrolling platform games.
Anyways, that's just something I noticed in past games.