Is it permissible to bring a Christian maid to Mecca without allowing her to enter the Haram?

It is not permissible for a Muslim woman to take her Christian maid to Mecca, because polytheists are not allowed to enter Mecca.

If the maid travels without a mahram, this is another munkar (reprehensible act) that adds to the prohibition.

The Christian maid can be replaced with a Muslim maid who has her mahram with her, or the children can be left with relatives, or they can be taken along and one can be patient with them, or a babysitter can be hired for them during the 'Umrah period.