If my mother paid for her respite care will it affect her eligibility for Medicaid?

My mother lives with me. She has Alzheimers but so far is able to dress and bathe herself. She does not and should not cook. She needs help remembering to take meds. It would not be safe to leave her alone.
My husband and I would like to take a one week trip to see my son play college baseball. I am not sure that I like the idea of some one in the house who I do not know. I would be concerned about identity theft as well as property theft. If my mother paid for the respite care in a facility will Medicaid look at this as a justifiable expense? She does not yet qualify either medically or financially for Medicaid and we will need to spend down in order to qualify, but she doesn't have a lot of money.