Im assuming the tile and cork are at the same height? Is is one higher than the other?

Are you wanting the transition to be flush?

A t-molding stained a redish tone would look nice but it wont be flush.
Or maybe just grout the gap.

Hello gregmills - yes floors are at same height. I'm thinking the t may be the way to go. It's a hall to bedroom so it may look ok if not flush. If we had been thinking, I'd have run the cork closer as the grout may have been the best option. I think it will look funny being as thick as it is..
Thanks

Yeah looking closer grouting that gap may look a little off or draw more attention to it. T-moldings work well. May need to trim a bit to fit in gap or even remove the bottom all together. Either way good luck and looks good!