Driving stick gives you no positive points nearly as for being more musculine, but being unable to drive manual transmission is a form of a handicap , and it will impact negatively every girl as toward competence of her man, more or less.
Driving stick is realy simple and fluent, I would call it as simple as automatic. You also have less fuel consumption and can accelerate and decide about your car to more extent (how you call it, those engine rotations). But automatic transmission can give you a bit more comfort. I have cars from both types, and I switch between them nearly daily, I have automatic Z3 roadster cabriolet, I gave her name Sick Zoe (it is a mad car with drive at the back and engine in front, plus being a long roadster so it behaves like batmobile)
I'm also looking into buying a Z3 or Z4. I saw some really nice ones. I might end up getting a manual transmission just because I may end up liking it more.
Shogun.
In the UK it wouldn't matter if you went manual or automatic in this case as the BMW Z3 and Z4 are already considered girls cars. This isn't my opinion as I actually drive an MX5 which is also considered to be a girls car. Pretty much any 2 seater open topped roadster (except maybe the Boxter S) is considered to be exclusively for ladies.