Not really. She's probably concerned/worried. Ignorant of bike commuting, perhaps, but probably still caring.

If she's not doing this from a caring perspective, and is doing it from a demanding perspective, that's a different issue that can't be solved here (except for perhaps suggestions for sneaking in your riding mileage.)

What you really need to do is to get the family to love bicycles and being "green" and then work the commuting in as an extension of an overall green/carbon neutral/healthy lifestyle.