It's a pity she didn't get longer as I feel Jo Coates was listening more, and looking more at the big picture, than her predecessor, and had a lot to offer However, she may have just sensibly decided that the chances of success were too slim, and best to get out rather than tolerating personal abuse from old timers in athletics, for years to come.
There is a fairly deep problem of governance. UK Athletics is mandated by government to look after only major events, and the national team, and gets its funding from UK Sport, a quango. The development of the bottom 95-99% of the pyramid is left to England Athletics, Scottish Athletics, Welsh Athletics and Athletics N.I, each funded by their own national sports bodies. This means duplication of jobs (e.g. England and UK coaching roles) and dilution of funds. It's because the home countries (the politicians and NOT the sport) wanted separate budgets and devolution long ago, and so the money from government and what it gets spent on is cut into four chunks. It means that really simple obvious things, like a national athlete registration system, have been done four times over in different ways. And worst of all it means that the development of new talent is not formally part of UKA's charter. Jo was actually trying to do good for the whole sport.
In the meantime, you have government policies to encourage sport and activity, which emphasize things like numbers of joggers that is very far from serious sport, which are drivers of funding and further confuse what governing bodies are supposed to do.
Contrast this with Germany, where the DLV is run by the clubs - there are arguments about voting systems, but the bottom line is that athletes and clubs elect representatives to deliver the sport, the way it was in the UK long ago.
The new combination of Ian Beattie and Mark Munro (both from Scottish Athletics) will bring a greater understanding of the culture of athletics than we had with Niels De Vos (about whom nobody in the sport says anything good) and Jo Coates (about whom the only criticism seemed to be "she wasn't an athlete"). But the fact is that it's a very difficult job given the mandates of the different organisations.