Hi Sheila,
First of all, travelling with Just You does not mean that you are travelling alone. Once you arrive at the airport you will be greeted by a JY rep and/or tour manager, and you will be able to meet your travelling companions in the executive lounge before boarding your flight.
You do not say when you were hoping to visit India, but I thought I should let you know that the Taj Mahal is due to undergo a facelift this year. This involves applying a 'mud-pack' treatment which is designed to restore the whiteness and gleam to the marble. Three of the four minarets have already undergone this process, with the fourth expected to be completed within the next few months. The additional work planned means that the entire dome will be obscured by scaffolding during the cleaning process, and portions of the white marble facade will be covered for 2-3 days at a time. Work is due to begin next month with March 2018 being the deadline for completion, although I understand that dates have yet to be finalised.
If seeing the Taj is your prime reason for visiting India, and I can well understand that it may be, then you may wish to keep this restoration process in mind when planning your visit. I'm sorry to be the bearer of bad news but I hope this information helps you to coordinate your visit at a suitable time.
Cheers
Mike