Blocks are a normal part of gymnastics (and, dare I say, life). Gymnastice, for 99.9% of kids who participate in the sport, is a fun learning activity for them to do but ends long before college. Success in gymnastics is different for different kids, and most coaches are able to step back and take their personal desires out of it and advocate for the athlete. Many different strategies work for different kids, but in general, per what I have heard from many coaches on this forum over the years, and seen with my kids combined 20 years of competition, pushing through, intimidation and threats are the worst approach...
Its also true that many gymnasts set themselves up to be "pushed out" due to perfectionism, intense personalities, and such - not of course consciously....but some kids are just wired to be hard on themselves and over think things - others just power through change and blocks....
My intense DD quit at age 12/level 8...after 2 years of struggling with blocks and coaching changes, and puberty. She is a freshman in high school now and still misses gymnastics, still trying to figure out a way to either come back or fill that gap....but it will be what it will be. She's much healthier mentally than she was when she was crying on beam about the BHSBHS series she'd been doing off and on beautifully for 3 years, or the giants she was again stuck on despite having had many other skills...and trying for a couple years to find a way to please the 10+ coaches who came through her life in those years, each wanting to help her but with different approaches...then getting to the point of not trying, because "they don't like me anyway"...(middle school drama thankfully over now!) She was initially a very coachable athlete - but by the end I suspect very difficult to work with at times.
I can only second what others have said - it sounds like your DD is caught with an inexperienced coach, unrealistic expectations about blocks and an approach that I would say almost never works, but in the least is not working for her. If possible a good talk with the coach about your long term goals for your DD (not"I would like her to be a level such and such at age such and such" but "She really loves gymnastics and at this point we would like it to continue to be a postitive thing in her life, wherever it takes her...") is in order - followed by looking at other programs if things don't change.
It may not always be the case, but I will point out that the most experienced coach any of my kids have had, who coaches elite level kids to success, has been the best at tailoring their training to fit their individual needs - keeping my gangly tall youngest L6 boy from losing hope, allowing my 16 year old who can only spend a few evenings a week training due to music and school to continue to do gymnastics without making him try to compete L10 this year (which the changes in the men's program would have required him to do), and in the brief time he coached my DD encouraging her and helping her see her talent when she herself no longer did....I think for the most part, those who coach for decades really like to see kids succeed - and enjoy gymnastics whether they ever get that particular skill or level....try to find one of those for your DD....and know that different kids work best with different coaches - many of my DD other coaches are great coaches in different situations/different kids...but with only one perspective you lose the chance to see how your DD will respond to others...