How does one deal with a 'friend zone' situation?

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What's up guys.
I'm 21 years old, never been in a relationship before, nor have I even hugged a girl before lol. I don't see it as a bad thing because I don't like wasting my time in relationships. I always see couples break up and I see them going through a really rough time and I don't want that to be me so I choose to not be in a relationship. I met this girl and recently, decided to ask her out and I got friend zoned. We have so much in common, we really do enjoy each others company and it seems we never stop talking to each other. I met her six months ago and ever since then we literally talked everyday. Whether its on Skype or texting its been everyday.So it sucks I got friend-zoned, because I feel like I lost something in my life in a way. She told me she's too hurt from her previous relationship and she doesn't want to get hurt again. Keep in mind, her previous relationship was a year ago... My friend suggested I cut her off and just deal with being in a shitty mood for the next couple of weeks. My question to you is should I stop talking to her? And if one were to ever get friend-zoned is it a possibility to continue being friends or no matter what one must end the friendship? I'm quite confused, its really embarrassing because all my friends date all the time and they seem like they are having a good time and then there's me.

Thanks a lot for the advice

Anon