If one does not want to receive any alert for a specific host or service - at least momentarily - one can squelch it.

alert thisis.down {
  macro = host.mymacro
  template = mytemplate
  $notes = This alert will...
  $metric = "avg:os.service.running{host=*,name=...
  warn = min( a($metric, ...

  squelch = host=sqldev01,flavor=amq
  squelch = host=test01
}

This alert won't appear in the dashboard for service amq on host sqldev01, and won't appear at all for any service running on host test01.