There is no evidence from the provided sources that the NYPD is deploying additional resources specifically in response to a situation unfolding in Qatar; rather, increased security measures have been reported in relation to conflicts involving Israel, Iran, and Hamas.
The New York Police Department is deploying additional resources at religious, cultural, and diplomatic sites throughout New York City, "as a precaution," in response to the situation unfolding in Qatar.

NYPD increases security at religious sites amid Israel – Iran conflict – NBC New York
Source: nbcnewyork.com
Key Evidence
explicitly ties NYPD security increases to Israel-Iran conflict.
nbcnewyork.comnbcnewyork.comNYPD increases security at religious sites amid Israel – Iran conflict
confirms heightened alert due to attacks on Iran but no credible threat.
nbcnewyork.comnbcnewyork.comNew York on alert, NYPD upping patrols after attack on Iran
None of the sources mention Qatar or related incidents as reasons for NYPD deployment.
What the Evidence Shows
The claim states that the New York Police Department (NYPD) is increasing security at religious, cultural, and diplomatic sites throughout New York City as a precaution due to a situation unfolding in Qatar. However, none of the provided sources mention Qatar or any related events as the reason for heightened NYPD security.
reports that the NYPD is increasing security at religious sites and Israeli diplomatic locations due to the Israel-Iran conflict, specifically amid Israeli air strikes in Iran.nbcnewyork.comnbcnewyork.comNYPD increases security at religious sites amid Israel – Iran conflict
notes that New York officials, including Governor Kathy Hochul, are on alert and increasing patrols following attacks on Iran but emphasize no credible threat to New York City has been identified.nbcnewyork.comnbcnewyork.comNew York on alert, NYPD upping patrols after attack on Iran
discusses a past security scare related to Islamist militant threats against New York City but does not mention Qatar or current events.reuters.comreuters.comNew York officials scramble to reassure city after security threat
describes increased security in some U.S. Cities after calls for protests by a former Hamas leader amid the Israel-Hamas conflict, again with no reference to Qatar.cnn.comcnn.comSecurity increased in some US cities amid former Hamas leader’s call for...
None of these sources link NYPD's precautionary measures to any situation unfolding in Qatar. Instead, they focus on Middle East conflicts involving Israel, Iran, and Hamas-related tensions. Therefore, the claim about NYPD actions being a response to events in Qatar is unsupported by the available evidence.
It is possible that there are developments related to Qatar not covered by these sources or occurring after their publication dates; however, based on the current evidence set, this specific claim cannot be verified and appears inaccurate.