How old is she?
Kids mimic: has she seen you postponing your own “homework” until the last minute? Cooking, cleaning up and so on? In particular since you said that’s your genes at work.
Do you offer her a good moment to do her homework? Like a quiet time as soon as you both get home during which nothing exciting happens or can happen?
These are just suggestions from my own childhood, so feel free to discard everything, but I hope they can be useful to start some brainstorming!