What I've found over time is that women who are
overly affectionate or attached to animals are often "damaged". It's a bit like drinking or taking drugs. Their affection for animals becomes part of their coping mechanism... Best avoided IMO but YMMV.
Just get out there and have some fun. If you're a fun positive person the right women will be drawn to you.
I do charity work in my spare time (Homeless younger Australians) and I've met a lot of quality women that way.
