[heRS]

As a dog training instructor by profession, my advice is to sign her up at PetSmart for a Beginner dog training course. It's fun and she will build her relationship with your dog as a "leader". The training instructor will help her understand the dog better, and help him learn to respect her. I have had husband/wife/Great Dane teams come through my classes and sometimes the wife needs an equalizer (halti, or gentle leader or easy-walk harness) because of how strong a Dane is. PetSmart has a 100% satisfaction guarantee so if you're not confident by the end of the six week course you can take it again free.
Right now Moose is being forced to share his resources (you) with her. This might be one thing. Another thing is he took HER items and tore them up, which indicates to me a bit of anxiety about her being gone. When they shred something that smells like you and then scatter the shreds about the area, it's to scare predators off, and I'm sure your lady will be thrilled to know her scent scares predators away...
Hope that helps!