Tenant moves out on three day notice

[Di Ye]

I’m a first time landlord in California. My tenant was late on rent and I served her a three day pay of quit notice. She responded that she would move out in three days. This gives me little time to find my next tenant and is before our lease expires. Would it be reasonable, and does it break any protocol if I charged her some penalty to cover some of the loss of my house being vacant? If so, what is usually a fair amount? A week or two worth of rent etc?

Thank you!