LL on holiday
Lucy Lord does seem to hae a high success rate in terms of getting patients booked into their hospital of choice, but she's on holiday until the end of July. You could try Grace Cheung, her partner, also at Central Medical Practice.
When I was booked in (at 9 weeks) l was told that if they say no, there is another window of opportunity around 34 weeks. Not sure why this is so. Possibly as they get closer to EDDs, gaps come up from people who unexpectedly left or they start scheduling in the elective c-sections and so have a better idea of where they might have spaces.