Heed my words from soulful pain, sonny boy. Let Mom stay in the house. Stop annoying her, because she will become ill from the stress and die a lot sooner.
If, you are so unhappy with her situation, which is understandable, then hire someone to live with Mom. There are plenty of situations, which would allow people to be happy to move in with an elderly woman and not only enjoy her company, but be happy to be there.
Nursing homes are NOT the great answer for OLD age. The meals come in on time, but are not necessarily enjoyable. Having to share a room with a complete stranger, as one age, is VERY unsetteling.
Elders have EARNED the right to have the peace that they want, if they can manage on their own. In every instance, that I have seen, the worst situation occured: depression, hunger, illness and a much quicker death.
The harsh lights on your Mom, now are just too much. Back-off and apologize and take Mom out for dinner more often!