No problem. His views of women of power seems to be annoyance that he is not allowed to decide what they should do. The Aes Sedai he traveled with for a long time were probably 100+ years (Teslyn at least was a Sitter, Joline too, I seem to remember), but he seemed to think they should shut up and do what he -- 20 years old -- thought was best. Even in small things, and in things they would likely be much better than him in. I am not going to go into any psychoanalytic approach to his distrust for Aes Sedai in general, though I see a path to their being physically stronger than him so he is unsure around them. But that is a bit speculative. But he is generally disrespectful to powerful women, even Tuon, and other women he judges purely on their skill to please him (Verin=traveling, Aludra=firepower, etc) or pure looks, particularly "bosoms" and "bottoms." Women, in his world view, are things to fondle or things to annoy, or sometimes okay as tools if they shut up and does what he wants. To compare that to his relationship with men, like Thom and Perrin and Lan which surpasses these traits... well, it is not a good trait. But I might be unfair to the poor bloke. He just stepped on my toes early on...

If she was as crafty as people would have her to be, she would be able to get around that. Galad would of course have to step down as a Whitecloak, but his service with them could easily be portrayed as a step on military training, and an attempt to either infiltrate or reform the Whitecloaks to get them to fight for the light in the last battle. His strict morality is also more fit in a feudal king than Elayne's erratic, spoiled and power-hungry behavior.