Its unfortunate she came to that conclusion with you not being able to take care of the dogs. I can see how that would be frustrating for her, but she has to realize that she left therefore the dogs are her responsibility; it doesnt matter if you have plans or will be home a day. You have a right to say no. Sounds like you handled pretty well.
me: 30 H:30 tgthr:7 m:4 no kids 5 counseling sessions initiated by H as a LR: Oct 2012 long distance marriage b/c of work since Nov 2012 official BD: July 2013 nothing filed 1/1/14 I dropped the rope