Where travellers are concerned, probably the most important thing that may affect your health in Srinagar is the political situation. The capital city of Kashmir used to be pretty well-known in the country as a hotbed of violence and bloody demonstrations, although the past decade has seen it calming down remarkably. That said, there have still been a few (not a lot, mind you) incidents in the area that have had many tourists concerned about their safety, including the abduction of an Indian journalist travelling through the region. Another problem, perhaps the darker side of the supposed “calming down” of Srinagar’s demonstrators, is that people allege that the 35,000 or so of the Central Reserve Police Force or CRPF and around 4,000 J&K (Jammu and Kashmir) police have been responsible for a handful of the cases in the ICUs and ERs of hospitals in the district.
To be clear, the allegations have it that the casualties are generally people who have been seen in or near demonstrations, which makes them quite a thorny issue for the local authorities. Official policy has it that demonstrators should be dispersed with nonviolent methods first, but police argue that it is significantly difficult to do that when the demonstrators are frequently armed with rocks that they use to pelt soldiers and policemen.
While the question of whether or not the casualties being reported were merited for “keeping the peace”, it is generally advised to tourists that they steer clear of areas where there might be a demonstration about to take place, which means keeping your eyes and ears open to what is going on around you. You should also check your travel advisories for the city before you trip to make sure that no political problems seem poised to break out prior to your visit: Srinagar might be a far cry now from its old war-torn state, but it never hurts to be careful in the Kashmir. Awareness is crucial in any area of this type if you are to avoid becoming just another specimen of so-called collateral damage.
Aside from that, the typical warnings apply when you are concerned about your health in Srinagar: check with the travel bureau or embassy which vaccinations might be required or advised, especially for the season in which you are travelling (Srinagar gets the full gamut of seasons), and prepare all your necessary medicaments for the trip in case you have a prescription that is difficult to acquire in other countries. The beautiful thing about Srinagar is that it is actually fairly well-developed, and its hospitals are among the best in the Kashmir. As such, formal healthcare is not likely to be a problem here.
A person trying to protect his health in Srinagar should also take note of the possibility of irregular weather in the Kashmir. This means that even if you are visiting in what is traditionally the summer or spring months, you should never neglect to bring along a light coat or jumper in order to counter the possibility of sudden drops in temperature, especially in the evenings.