The guidance for EY providers seems to go into a lot of detail about their responsibilities to minimise risk, which it seems yours is trying to do...
*Parents and carers should be encouraged to limit the number of settings their child attends, ideally ensuring their child only attends the same setting consistently. This should also be the same for staff.
There may be situations where a child needs to attend more than one setting, for example, children attending a childminder before their nursery opens so that their parent or carer may go to work.
Settings, parents and carers should work through the system of controls collaboratively to address any risks identified and allow them to jointly deliver appropriate care for the child. This section of the guidance contains more information about the system of controls for settings.*
So I suppose they can ask you if it's essential that your daughter attends both settings, and encourage you to just use one of the two... and if it is essential, you should work together to address additional risks and work out how your DD gets appropriate care.
I don't envy them having to comply with these requirements, to be fair. The detail and changes are insane... restarting toothbrushing, for example, but it has to be dry brushing. Minimising group contact and sizes. I feel for them, as well as you.