In some ways, she sounds like me when I was 14. And let me tell you – my parents sitting with me and lecturing me about my behavior and how I disappointed them (or was sinning!) would have only hurt me more and made my self-esteem and anxiety worse. 14 is a very tough age.
You want to be on your kids’ team, not be in opposition to them. This is admittedly difficult in the teenage years, but if you try to keep this in mind first, I think it would help. Try to connect with her on topics she’s interested in – music, hobbies, sports, etc. Talk to her about those things, do some of those things with her. Go to her soccer games and cheer her on! Don’t mention afterward anything she (or her team) might have done badly, but focus on what she did well. E.g. “that was some great passing!” or “wow, you were so fast today!” or even a simple, “I love watching you play!” Connect with her. Build a relationship with her. The time is fast approaching when she be an adult and move out – build those bonds now while you can.
Listen more than you talk. When she does open up about feelings, listen as much as you can. Don’t minimize her feelings or suggest that the reason she’s having those feelings is because she’s doing something wrong. Rather, acknowledge the feeling e.g. “wow, that must be terrible to feel that everyone in school hates you and have to worry about social media so much.” Then try to brainstorm with her: “what do you think might help?” These are just examples, of course, but in general I find that fewer words are better with teens. Often, teens do open up to teachers/coaches/etc. because they work with a whole bunch of teens and have mastered the skill of non-judgmental listening more than some parents. (After all, this might be our first teenager, but teachers or coaches work with dozens of teens every year – they get a lot of practice talking to them.) When we listen without judgment and really seek to connect, teens do respond. Maybe not immediately, but over time connection will happen.
I wonder whether part of the problem with the outing was that it started out on the wrong foot because it wasn’t something she was really interested in. Perhaps she would have rather gone to a fast-food restaurant and a movie, for example. Or a coffee shop, or a sporting event, or a concert, or whatever. Most teenagers aren’t going to be very appreciative of a fancy restaurant. They’re teenagers. They won’t be like that forever. Connect with her now however you can.
I agree with other posters that a family counselor could be very helpful here. Since someone above recommended a book (and that one’s very good!), please let me to recommend another one: “Parenting from the Inside Out,” by Dr. Daniel Siegel. This book is different than many parenting books in that it asks parents to deeply examine themselves and their own childhood histories. I found this book fascinating and it helped me realize why some behaviors from my kids triggered me so deeply, and helped me work on different responses to those triggering behaviors.
https://www.amazon.com/Parenting-Inside-Out-Self-Understanding-Anniversary/dp/039916510X