I like having a routine in my work, I'm sure this applies to most other Nannies - I'd suggest actually making a specific time to come and play, if you can.
A typical day would be:
Get the child up, get ready, have breakfast, play a game, go outside (weather permitting) for some fresh air and exercise. Come home, lunch, nap, activities in the afternoon (ideally something social like a playdate, meeting at a park, toddler group etc), snack, games then dinner and bath routine.
If we were not allowed outside, that's a huge, huge amount of time to fill indoors - child gets stir-crazy, I get stir-crazy - it's not healthy for either of us.
One of the key things for babies is to get exposed to new experiences and sensations - that's how they learn and develop.
It's really important for them to socialise too. I worry about all these children stuck indoors because of Covid and the long term damage this is going to cause on their development, especially their social and emotional development).
Working alone is very different to working with your boss around. It can feel quite tense, and can be disruptive.
What you're describing is known as a "shared-care" job which will attract different applicants than a "sole-charge" job. Most Nannies vastly prefer sole-charge.
It sounds like you've a lot going on, but your newest posts seem a bit more reasonable and it's great if you're looking to find ways to make it easier for the Nanny.
I think you need to relax a bit about the Covid stuff (the fear monger poster who said about deaths in her community needs to give their head a wobble, what a thing to say to an anxious new Mum) - children are extremely, extremely low risk - the risk of long term damage cause by lack of socialisation, and growing in a fearful environment is far higher.