Medium Transport; Low Wing; 2 Turbojet Eng
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 2
Confusion; Distraction; Situational Awareness
Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Separated Traffic; Flight Crew Executed Go Around / Missed Approach
Airspace Structure; Human Factors; Procedure
Runway 4R was closed for wildlife removal. Aircraft X was issued a landing clearance then a subsequent go-around instruction on Runway 4L for traffic that was on departure roll.  Upon attempting to separate Aircraft X with the preceding departure; I may have lost IFR separation with a LGA arrival (Aircraft Y) that was southbound on the Hudson River. I recommend that a viable Missed Approach Procedure be created when we are on this flow.  This procedure shall not conflict with our SID and it shall be published in a manner that does not conflict with adjacent airports' (TEB & LGA) arrivals.  Without VFR weather and the ability to attain visual separation; separation errors shall be expected every time such an event occurs.  An 'out' is very difficult to attain in such scenarios.
EWR Tower Controller describes a go-around that then becomes a conflict with an aircraft inbound to another close proximity airport..