Further internet research reveals that I am in fact water-dog +Yang, which apparently makes me Sea Water. The first word of description in the +Yang column is 'odd'.
As usual, my horoscope is eerily accurate even when they are strange (Aries-Taurus cusp wtf?) I can't find a site that will tell me what my 'secretive' animal is, but I'm hoping for rat.
Speaking of rats, the litter I might get new boys from looks to have all dark fur, and 5 out of 9 are boys! huzzah!