Maa Vaishnu devi Mandir is situated in Jammu and Kashmir which is easily accessible either by train or by bus even air services are aslo available. the distance between Katra and Temple is 14 Km approx.
You can took a room in any hotel in Katra and rest for a while then you can start your journey( suggested to start in the evening).
As temple is situated on the top of the mountain so it is itself become a sightseeing which attract many foreigners and Indian people.
In terms of security the Army and other para military forces are on stand by mode 24*7 so safety is not an issue, even if you have any health related issues than there are many hospital are there which gives you free services.
In morning do your Darshan of Maa vaishnu devi and return to your destination