I'm gonna stretch my neck out on the block here and say that Gawyn and Egwene do get bad reps, though it's not entirely their fault. But yeah, spoilers below, so... careful. :x
Gawyn's life has been in turmoil ever since Rand first fell into the Garden in Caemlyn. On his way to Tar Valon, he and their envoy were chased the length of the distance by Whitecloaks. When they arrive, he's pushed to the extent of physical, and likely mental strain (we don't know too much about Warder training. I assume they're doing more than just training with a sword). Then, his beloved sister and the love of his life disappear without a trace. Twice. With Morgase going to the Tower to get Elayne back, Gawyn (with the help of Galad, of course), is forced to withstand the sheer force of their mother's will to stay in the White Tower. When Min returns, he is baited with the oppertunity to get some information, but it witheld from him. When the Tower splits, he makes the decision any without full information would do. He sided with the Tower. This put even more mental strain on him, as he was forced to cut down his own mentors. And after he's made the full declaration of what side he is on, what happens? He meets Min, along with the Stilled Siuan and Leane. He knows he can't back out now, after what he's done. He's engrained in the tower now, for better or worse. However, he lets them go. Why? Because Elayne and Egwene trusted them. Again, mental challenges. Afterwards, Gawyn is sent on missions that become more and more impossible by Elaida, in attempts to be rid of him. on one of these missions, he learns of Morgase's death, supposedly at the hands of Rand. After a trauma like this, along with the obvious fact that mothers use names of men that could channel to scare their children, is it so far-fetched that he boiled a hatred for the man? Even after reuniting with Egwene for a short time, his hatred could not be lost. What can I say? It's a character trait, just like any other. Eventually Gawyn decides to leave the Younglings and ride for Egwene, after he learns of her danger. He's riding to protect the one he loves. After the Seanchan attack, I think it would be even more of a character flaw if he HADN'T gone to rescue her, her wishes aside. After this, he is refused even the smallest hint of gratitude, and is instead punished by the woman he loves. Seeking refuge, he returns to Caemlyn to speak with his sister. Elayne, being the worthless person she is, is rather unhelpful, but the Seanchan women are. He gets back just in time to singlehandedly fight off THREE, not just two, but THREE FREAKING BLOODKNIVES. In the dark. Only afterwards is he finally reunited officially with Egwene. I think in the next book we will see some major character differences after the wedding, since he can finally be at peace with himself. Oh, and Morgase and whatnot.
As for Egwene, all I can say is, I'll laugh when it turns out she was under mild Compulsion the whole time.