No, her child will not be deprived by not going to nursery.
A while ago there seemed to be a group of mothers who were quite vociferous in supporting those who decided, and could afford to, stay at home to look after their own children.
Have they been silenced?
Staying at home doesn't mean staying behind closed doors and not interacting with other people and small children.
Mine were hardly deprived of social contact when they were young.
Those years are precious and it's sad that mothers are made to feel guilty if they want to share them with their own children, even if it means putting their ambitions on hold for a short while.