Did Anora Love Cailan?

Anora eventually married Prince Cailan and though the two were fast friends, the marriage was initially one of convenience rather than true love. Though that friendship eventually blossomed into love, Anora always viewed her husband as a fool, lovable and charming, but a fool nonetheless.

Does Anora always betray?

She absolutely, positively does betray you, at any and every opportunity where it might put her ahead. That doesn't make it not a betrayal but a calculated one made only out of her self-interest not some desire to unseat her father; if she thought there were any chance she could have done that herself, she would have.

Can the warden marry Anora?

The Grey Warden and Anora won't be married until after the game is completed. Therefore, your Grey Warden must survive the end of the game in order to actually marry Anora. This means that you must either accept Morrigan's proposition prior to the final battle, or have Alistair fight the Arch demon at the end.