I doubt it. She is a warrior with responsibility, fighting the dangers that threaten the armless civilians in her kingdom. Falling in love with someone doesn't sound like a thing in her repertoire, not until her mission is accomplished. She's been doing her best to prove that whatever a man can do, so can a woman. Romance would probably make her feel that she's the one being protected, with less control of herself and more dependence to other people. Of course, that doesn't mean her acceptance of Cora's philosophy, aka. "love is weakness". She just puts honor before all.