It is good you are not alone at home.
I do feel tired and ill after the infusion, but I also feel that way before the infusion. Also, I have very bad insomnia, and being in a different place does not help. So I usually don't get any sleep on the day and night of the infusion, which worsens the fatigue. The rituximab tiredness usually starts in a few days.
The few people I know who are also on rituximab tolerate it very well, they usually leave on the same day of the infusion, and don't have excessive fatigue.
It may be different.