Wow. You don't have to believe me but consider a couple of things. Why did you spend so much time talking on the phone with her? Does she live on the other side of the planet? A phone is a single woman's most powerful weapon. She can hold you at arms length while simultaneously keeping you firmly in her grasp and that is a really bad spot for any guy to find himself in. If you find yourself in entrapped by a phone call just say you got to go and hang up.
But you are on the phone with her and toward the end you work up the courage to ask her out. That is fantastic! Make it your mission in life to ask every woman you meet out on a date. You are going to get shot down a lot but that is the point. It won't take long for you to see that getting turned down doesn't kill you. It doesn't even hurt you. You have a lot to offer any woman so if she turns you down its her loss, not yours. Once you realize that, you will not be intimidated by any woman you meet. However, you asked her out for a first date and you chose Saturday night as the night. Interesting. Conventional wisdom says this was a good thing. I strongly disagree. Saturday night is prime time so choosing a Saturday night for a first date says something about you and it isn't good. You are shouting for the whole world to hear that you have nothing better to do on a Saturday night then spend it with someone you hardly know. It gets worse. When you ask a woman out for a first date on a Saturday night you are suggesting that SHE has nothing better to do on a Saturday night then go out with some guy she barely knows. That doesn't score a lot of points for you. You are a busy guy with a full life of adventure so you will not ask a woman out for a first date on a Saturday night ever again. Even if what you just read isn't true, believe it about yourself.
One quick thing about the date you asked her on. You wrote that you were going to meet at 6 for your date. I take that to mean you were going to meet at a bar or something and go from there. If that is what was supposed to happen, that wasn't a date. A date starts with you picking her up at her house, not meeting somewhere. Women will say, "No. Its better to meet someone at a neutral site for the first date because the man might be a serial killer or something so its the safe thing to do." The reality is if a woman is interested in you she will want you to pick her up at her house for that first date whether you are a vicious killer or not.
Well thats my take. It doesn't really sound like she was all that interested in the first place but don't feel bad about that. So what if you got stood up? I'd predict you would'nt have had that good of a time anyway. So get out there. Its Saturday night and you are a man on the town. Flirt with anybody you fancy. Ask for a dance. Ask for some phone numbers. Laugh out loud if you get that "as if" look and move on to the next one. Go out and have some fun.