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A friendly reminder regarding spoilers! As always, the expanded Trek universe is in a period of major upheaval with the continuations of Strange New Worlds and Prodigy, the advent of new eras in gaming with the Star Trek Adventures RPG and Star Trek Online, as well as other eventful releases such as Section 31, the ongoing IDW Star Trek comic and spin-off Star Trek: Defiant. Therefore, please be courteous to other users who may not be aware of current developments by using the {{spoiler}}, {{spoilers}} OR {{majorspoiler}} tags when adding new information from sources less than six months old (even if it is minor info). Also, please do not include details in the summary bar when editing pages and do not anticipate making additions relating to sources not yet in release. THANK YOU

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Memory Beta, non-canon Star Trek Wiki

Federation Security and Emergency was an emergency response service, staffed by Starfleet personnel, which responded to civilian medical emergencies. As a young girl, Inana Skanda contacted Federation Security and Emergency after finding her grandmother, Gemma, collapsed on the floor of her home. (CoE eBook: Remembrance of Things Past, Book I)

It is not specified where this service is used, though it presumably would be in locations where a local civilian police force or paramedic service was not available.