Well you CAN'T go to Denmark without having at least one beer!
As for your question regarding if guys like women you are independent, I can only speak for myself. I am most attracted to women who are balanced, middle of the road types. Again for me, if I meet someone and they are on either end of the pendulum (either too dependent, or completely independent) it's a red flag for me. Really the old saying of "all things in moderation" for me rings true.
Flip the question - do you like men who are completely independent? What are your thoughts on that?