While our characters abilities are done in completely different ways, they is certainly going to be a point in which their wills are tested against eachother.

How would you like to handle that?

Ultimately there is no doubt in mind that Anna's ability is the superior of the two. 

I would think that The First Mate could manipulate water that Anna isn't directly controlling and anything she is controlling he might be able to effect very marginally?

Never really come across spirit energy vs hyrdokinesis before.