If you are in-range on Monday, please remind her that the 3.75 on Sat and Sun are not reflected in Monday's test. Chances by Wednesday your INR will be lower again. If you're in range but low on Monday I'd push for 5/day for a week and retest. Don't let her start micromanaging your dosing by continual testing once you're in range. Once a week will be soon enough.
I'm pretty certain this woman is probably going to start getting pretty fidgety if she sees you going to the high side of your range. Do not let her reduce your dose for anything in-range.