agree you want your cake and eat it
you arent happy that your dc wants to spend time with your nanny, yet you want her to look after her - surely you are happy that she is confident and secure with another person rather than hanging onto your ankles and screaming
working from home causes problems if you dont make the boundaries clear from day 1
is she a sole charge nanny and can make plans to do things, or is it shared care role?
you need to let her get on with your job,imagine how you would feel if your boss was peering over your shoulder and then interfering - as that is what you are doing
my mb worked from home today, i carried on as normal, kids said hello to her back from school,then left her to work as that is what she was doing - and we did the usual playing/homework/tea etc
if you can not leave your nanny to it then you must work out of the house- starbucks is nice :)
your dd does not love you any less just because she loves her nanny - think of her love as an elastic band - it just stretches and expands with more people she loves