About equal in round 1, Leia holds very clear, better described advantage in terms of her speed in every factor possible, and is also superior physically by a very large margin, but honestly, there is no reason to believe Atris would be less skillful than her or the opposite, especially if you consider where Leia stands among the others in her era, and how much would that derive from actual skill, and how much from the Force power translating into physicals, when you compare her to Corran, Saba or Kenth and try to gauge her pure skill comparing their general showings with their respective physical capabilities. Leia through physical advantage no doubt, but it would be a hard combat.
Leia 10/10 in terms of the Force, no contest. Atris is no slouch despite people having little knowledge on her, but Leia is a totally, completely another class.
And in real combat it should play out similar as in the first round since Leia will only damage or imbalance Atris with the Force, not one-shot her with the Force, but here Leia takes a very solid majority.