First, Ask the colleague why she feels her way is better.

If she says something like "it just is", reply that while you're open to other ways to do things, you have a way that currently works for you, and would need a reason to switch your workflows.

If she gives an actual answer, consider it. Maybe it is better than what you're use to. maybe it's possible to incorporate both ways to have the best of both worlds. Assuming you still think you way is better, say something along the lines of (I'm basing this on something I said to a co-worker in order not to be too abstract): "I get that doing it your way [is simpler and requires less troubleshooting], but it can also [give wrong results if a thing changes and we forget to correct for it]. My way [corrects for it automatically]. For me, eliminating the risk of [forgetting to manually correct] is worth the need to [do some troubleshooting]. Maybe that's because you have [better memory] and I'm better at [technical stuff], so we each have a way that works for us, but will not work for the other. I appreciate that you took the time and explained your way of thinking, and I hope you understand why my way is better for me".

After that, if she still insists, tell her you clearly aren't able to come to an agreement among yourselves, so maybe it's better you both talk to the charge nurse if manager or whatever.