I've briefly commented on this story in AIBU.
I had gestational diabetes. I also booked a home birth with an independent midwife. My birth also involved shoulder dystocia (baby was a whisker off 11 lbs).
The difference in my situation was that, having been advised to have my baby in hospital by my obstetrician, I chose knowingly to opt for a home birth in full awareness of the risk to me and my baby.
My midwife had a back-up with her, who helped at the moment of birth. We had all discussed the procedures for dealing with shoulder dystocia (which I knew was a possibility as a scan had suggested my baby was over 10lbs).
I also had my MIL in the house, who was an A&E nurse with 20 years experience under her belt. Finally I had a friend, who'd worked as a maternity support worker, whose 'job' at my birth was to alert the emergency services (all details were taped to the phone) should they be needed. She did end up phoning them but we were able to send them away as the midwives resolved the problem without their help. I also live (literally) five minutes drive from the hospital.
I cannot imagine why this midwife encouraged the mother to deliver in the pool, and why she was alone at the delivery. In any delivery which involves a strong possibility of a sd you would want a second midwife present, at home or in hospital.
I'd like to hear the midwife's explanation of what happened. Often these cases are reported in a very partial way.
Re: wanting an NHS midwife for a homebirth.... Not in my case. I wanted a midwife who had years and years of experience of attending homebirths, and experience of dealing with high risk births out of a hospital environment. You won't find many in the NHS who have that sort of experience. My mw has done twin hb, breech hb, and other mothers with big babies/gestational diabetes. She is an outstanding practitioner as are all the other midwives in the practice.
And IM are supervised, have to update their training regularly and are expected to act by the same code of conduct as NHS staff. My midwife also received backing in her management of my pregnancy and birth from an NHS consultant midwife at a large London teaching hospital.