Arthur has a clear edge on her physically. However Aspen is faaaaaaar more hax. Not sure if she has any way to resist his telepathy. And yes, I am aware she is a telepath, though from what I have seen, a very low level one. Could go either way, really.
I honestly don't know much about Aspen beyond 'that bikini chick Michael Turner made', but I did some reading, and she sounds like new-52 Mera, essentially. Given the environment and Arthur's physiological reliance on water, I'm guessing she can take this. New-52 Aquaman is sadly lacking in the TP department, we haven't seen it work on non-marine life before. I think Aspen would win this.
OP needs to make it clear which version this is. Seriously, am I the only one who hates it when there is no clear indication of which version a character is meant to be during a battle? Really, how hard is it to say, "X version of Character Y before Z upgrade"