so you don't know if its a game or if she is lost interest. Just as you are not putting all your eggs in one basket, why should she or expect her too?
On the first date with my wife (after we already got nasty) I told her that "I will not play games with you. I'll be honest with my ideas, lifestyle and how I feel about things" - as much as a person can be, who is co-dependent. So I didn't play games with her, nor much with others. I never offered more than I was willing to say.
Other than asking HER out for this weekend - don't ask anymore. If she chooses Fri, Sat, whatever - earmark it. And also do this: YOU are going out, no matter what. Did you get ideas plans on where to go? Also, I still recommend learning to be a social drinker. Since you are way past being in your teens and twenties - becoming an alcoholic is very minimal. I vowed to never ever drink - but I changed in my 30s to do so. I hung around other friends who drank to look out for me. I'd recommend a Cape Cod for starters - ask for a weak one. Beer tastes like pee-water. And if you go for the Cape Cod, DON'T EVER get the well drinks! EVER! Taste like crap. Don't buy your date a well drink either - makes you look cheap. Spring for the extra $1-2 for a good drink. Typical bars - type him a $1 per drink. Cape Cod = Vodka and Cranberry with a shot of cherry flavoring. It's easy to drink.
Why? Takes the edge off... relaxes you... can make you more OPEN to express yourself. You'll laugh at her jokes more and she will laugh at yours. (Don't get dangerously wasted)
Next : date night can be other nights of the week. Wed, Thur, Sun as well - depending on the city... makes for shorter date for some, maybe less pressure.
So, lets say your Cook-Gal agrees to Friday night at 8pm. But she cancels out on you at 5pm. If that happens, tell her "no problem - hope you get better. Let me know when you're available to go out with me. " somewhere in that text conversation - let it be KNOWN that you are STILL GOING OUT! 1- this tells her that your world doesn't center around her. 2- that things happen and you got your own life to live and won't be DOWN because your date canceled. Who knows - maybe she'll feel better at 10pm. (If she is dating someone else - maybe she'll ditch that date at 10? You may never know). From players who date women who are not likely to PUT OUT on the date (or women to men) - they will have dinner early (6~9) and hit date #2 after that - to drink, dance and sex.
So, if you are willing to try before the weekend, go to a local corner bar. Get two drinks max, nothing more. cap-cod. Maybe some other "girlie" fruity drink - let bartender know you are TRYING out drinking for the first time and learning about the various drinks. Oh, for a 2nd drink - go for a frozen margarita. Its a Slurpee with a KICK. A good size one will get your drunk.
General rules - don't MIX your drinks. ie: drink lots of vodka and rum in a single night. But if you are experimenting - 1 drink of each type to learn what they are - this can also be HANDY when you are out on a date. so you know WHAT she is drinking or if she asks you to choose and you KNOW what she is talking about.