I too have a HUGE issue with homework in K. Huge. I talked to my DD's teacher and she didn't believe in HW either for such young children, especially after sitting in class for 7 hours. (the principal requires it) After volunteering for hours in her class I realized there is so much, do this, do that, sit here, be still, be quiet all day long that my child needed to run, scream, play and have a few minutes where someone isn't telling her what to do when she got home.
So with her teacher, we came to the agreement that if homework was completed by her, great. If not, it doesn't go against her. Her teacher fully supported a chance for DD to unwind a bit. She typically did HW as I was making dinner....she'd sit at the kitchen table and I'd be in the kitchen and we could work together.
Now that she's in 1st. it works much better for her to wait until after dinner.
Just between you me, and everyone on the internet, I'd talk to her teacher to see how much emphasis you need to be putting on the HW. And then worry about scheduling it in. GL!