I expect you will find your taste gets dryer as you become more experienced.
You may like to look at
http://www.squidoo.com/understandingwine,
This will give you some basics!
Good Sauternes has a balance between sweetness and acidity, so I don't think anybody would call it sickly.
You should also try some of the Australian wines they call "stickies" which are dessert wines, see
http://www.adelaidereview.com.au/archives/2004 _06/wine_story1.shtml
Don't do what my father in law did, which was at an official dinner, whilst sitting next to Prince Phillip, called for a sugar bowl and proceeded to stir in two spoonfuls to his glass of wine because it did not like dry wine!