Can I refuse to accept section 8 from a current tenant applying for it?

[Johann Jells]

I don't know how far she's gotten, but a current tenant I inherited with the purchase, that I'd love to get rid of (loud family with 4 kids under 12), asked me "do you accept section 8 vouchers?". I said no, but I recalled that you cannot refuse a tenant based solely on vouchers. But this is different as they're already in residence. What are my rights/options?

For that matter, what applicant with a voucher could you not turn down for the typical crappy financials you'd expect of such a person? Is that the "out" for landlords to be able to stay away from section 8?