I know my sun sign is in Virgo, but I just found out my Rising sign is in Leo and my moon sign in Libra.  
It seems strange because to an extent I'm a Virgo, but I do have some Leo characteristics and a little Libra.  Its seems as if the Virgo and Leo are fighting because first impression of me people think that I'm quite and shy, but my friends can tell you the full opposite.  They have to tell me to shut up more than to talk. I don't like arguing and try to avoid it, but if I'm tested I fly off with no problem.  I am very confident, and I try to be confident with out being conceded.  I only organized in certain things for some reason.  A bit messy, I don't want my room perfectly clean, it drives me nuts to see everything perfectly align, but when I do clean everything has to be spotless.  I get fussy if the house is dirty and I didn't make the mess.
I'm loyal to my friends and will do anything for them, at the same time I like my space and privacy.

Rising Sign of Leo?  Wow How nice!

 So Leo Rising means you have the 'mask' of Leo.  Your seemingly shy nature [from what you have shared] is most likely a mix of natural Virgoan shyness [no matter how diminished it may be] and then then acutley self awareness you posses about yourself, who your with and where you are.  Why are you so aware of this?  Image!  Thats the Leonian in you.  As you stated you arent shy you are quite the opposite, but apon first meeting someone you are sizing up the situation trying to see how you appear to the other fellow or the group.

Moon in Libra may compound this action.  The moon deals with emotion, and with the moon placed in Libra specifically, there is a tendancy to want partnerships, yet you constantly may see flaws or things that need to be fixed in your relationships.  Relationship means more than just your lover-it extends to friends and aquaintances as well.  Of course the scrutiny of your relationships would add to that seemingly shy nature.

I hope this helps!

I completely understand, that is I am sun sign Virgo and Rising Libra, they fight constantly.. lol

I hate things to be disorganized and yet I dislike doing the cleaning myself, unless.. I'm the one who made the mess, in which case I am very anal. I also work my bottom off and although I claim that I do it for the love of working the detail, which is true.. I believe EVERYTHING to be so UNFAIR when i do not get recognized! Why on earth would a Virgo be so worried about be acknowledged for the work they have done, most of us are happy just knowing that it was done right!

The mixture of our signs is what completes are chart, there is more than one aspect of your personality, not to mention upbringing, (evironmental) that makes us who we are, don't stress if you are not the perfect Virgo... (Like I am) okay that's a bit far. lol  A combo like Virgo-Libra is hard to deal with and personally I have to keep acknowledging my inconstincies to make sure that I am not contradidicting myself.. a common problem.. (I was also raised by a Libra) Talk about bickering!!!

If I can manage the deuling signs, you can too!