He's basically dealing with it the same way he dealt with the various women who tried to hook up with him back home. Which is to say, first trying to explain exactly why she should give up, and failing that, just attempting to subtly discourage unwanted behavior, mostly through deliberately ignoring a lot of antics.

...he doesn't think it's his fault for "encouraging" her before, though, because in the first place what ELSE was he supposed to do to keep Ryner close, and second he's since then at least twice explained to her exactly why it WON'T work between them, so. :|

What are Ryner's current thoughts on the Marian thing?