I figure my job as parent is to set my kids up for whatever future they decide they want when they get there. And as the parent, sometimes that means that my job is to say no to some things they want, and to force them to say yes to others they don't want, because I have the perspective to know what is in their long-term interest, and they don't. So yes, my kids have to eat some damn vegetables, even though every single one of us -- me included -- would much rather have ice cream for dinner, thank you very much.
Of course, it's also my job to make sure that my yesses and nos are based on the long-term best interests of my kids, and not someone else's vision or someone else's kid. And that means that sometimes my decisions need to be different, too. In particular, I have yanked my DD out of two schools because they did not know how to manager her productively and constructively, and I was even considering quitting my job and homeschooling if the third school didn't work (I got lucky that it did).*
So the first step is to figure out if there is something actually wrong with the school or how your DD is getting along there, or if this is just standard kid whining about eating broccoli. Don't just listen to her words -- look at her behavior. Is she acting differently: does she periodically lose it for no reason; does she complain about stomach-aches on Sunday night or Monday morning; is she just acting like a different kid than the one you know? If so, definitely follow up with the school until you get to the bottom of what's going on -- could be bullies, could be that she is in a class that is too fast or too slow, could be a teacher whose expectations are not age-appropriate, etc. etc. etc. But also keep in mind that kids are awesome at spotting a sympathetic target from a mile away -- which means the more she thinks you might relieve her of her school obligations, the more whining and misery you would hear. (My mother could never figure this out. She felt so bad dropping DD off at daycare, because DD would cling and sob like her world was ending. I fell for it too until I realized DD never did that for DH. So one day, I dropped DD off, withstood the typical world-ending sobs, and then stood outside the door to the room and waited. I swear she stopped crying within about 15 seconds and then happily took her spot in the circle to sing the songs and do the morning activities. That kid really, really should have been an actress.)
Your vision sounds like the idyllic childhood. But you also need to make sure your kid is getting enough metaphorical broccoli to grow up healthy. I would encourage you to do a little more research before making a decision. And that starts with getting a real sense of what those various job/career options require.** It's easy to say "you can make good money in the trades" -- but what kind of diplomas/degrees/schooling will your DD need in order to be considered for one of those kinds of trades? What kind of skills? Carpenters and plumbers actually have to do a lot of math on the fly, for example, not to mention having good spacial reasoning skills (and a basic understanding of the laws of physics always helps). Maybe your kid wants to be a teacher*** or a nurse -- historically very popular paths for little girls. But those definitely require college degrees and various certifications. Etc. Once you know what your kid needs to have reasonable options in life, then look at your various educational options to get there -- public school, private schools, schools with a different philosophy, homeschooling, etc., to see what seems to suit your DD best. But don't just listen to the speeches; learn what the days are like, what the kids do, what kind of homework there is (if any), and then look for any data you can find about whether kids who have followed that path in the past have managed to pursue the kinds of options you want your DD to have. Then you can make an informed decision with confidence that it is the best interest of your kid.
Tl;dr: The point of life isn't just to have the shortest path to FIRE, it's to maximize happiness over the course of your life. So IMO, sucking it up in a job that makes you miserable for 10-15 years is a failure.
*Ironically, the schools that didn't work were private, and the one that ultimately did was public -- turns out they had much, much more experience with ADHD kids.
**And please, for the love of Pete, look beyond fast food; good Lord, if my parents had decided that 10 years at McDonald's and then FIRE on a minimal income was my path in life, and so that was all they prepared me for, I probably would have shot myself (yes, hyperbole, but I worked fast food, and I was bored out of my mind AND physically exhausted, so at a bare minimum a variety of mood-altering substances would have become a large part of my life to get me through my day).
***It sounds counterintuitive given her current hatred of school. But I know people who became teachers precisely because it was miserable for them and they wanted to "fix" it for other kids.