Here is a query that will give output to help kill broker-activated tasks:

SELECT

'KILL ' + cast (at.spid as varchar)

, at.spid

, DB_NAME(at.database_id) AS [dbName]

, at.queue_id

, at.[procedure_name]

, s.login_time

, s.[status]

FROM

sys.dm_broker_activated_tasks at

INNER JOIN

sys.dm_exec_sessions s

ON

at.spid = s.session_id;

Use this query when trying to kill conversations and unable to because you are being blocked by broker-activated sessions.