Unless the tenant is alleging that you are the robber or that your failure of your duties as a landlord contributed to the robbery (such as that you did not provide locks), that the tenant is robbed is not a statutory reason for the court to delay hearing whether you have a statutory basis to evict the tenant.
Desperate tenants do all sorts of things to delay eviction. They may even do some crazy things such as rewiring your property's electrical wires incorrectly and then call the housing inspector on you.
If your rental situation is governed by Chapter 59.18 RCW (Residential landlord-tenant act), you can review the statutes to see the statutory procedures. The statutes are at http://apps.leg.wa.gov/rcw/default.aspx?Cite=59 . You likely also should review the statutes on unlawful detainer (eviction).
The unlawful detainer court has very limited jurisdiction - just to narrowly determine whether or not a tenancy exists, whether or not rent has been paid as agreed in the contract. Even though the caselaw (Foisy v Wyman) suggests that equitable defenses can be raised, in a practical sense they cannot. Your tenant can request that the writ be stayed once one is issued, but if the court denies the motion, you can ask for fees/costs for the necessity of your response.
Courts always reason that if the place was "that bad" the tenant should be happy to leave.
A grievance is not the same as an answer. A catastrophe that prevents payment of rent still doesn't get the rent to you as contracted. If you don't have a lawyer you should get one, who can review this matter and give you the appropriate advice based on your specific circumstances.
It is never a good idea to take legal advice from your opponent.
Hope this helps. Elizabeth Powell