CRJ First Officer reported receiving and responding to EGPWS alert of noted obstacles risks resulted in distraction on visual approach.

Narrative

Aircraft X was dispatched to ZZZ on Date with a scheduled departure of XA50 local for Aircraft X. The flight proceeded normally as Approach cleared the aircraft for a visual approach to Runway XX following a descent to 3;300 ft. MSL. The PF (Pilot Flying) had briefed this approached as backed up with the ILS Runway XX. The PF conducted a left downwind using caution to avoid obstacles depicted on the Jeppesen chart for the briefed approach. Upon turning base some 3 or 5 miles southeast of the outer marker; the flight crew received an EGPWS Terrain warning. The PF conducted a terrain escape maneuver by advancing the thrust levers and climbing to approximately 3;200 ft. MSL until the annunciation ceased. Neither the PF or PM (Pilot Monitoring) noticed any dangerously rising terrain nor had the MFD painted any yellow or red terrain (both pilots had their MFD selected to display terrain in the 10 mile range). Because of these indications; the flight crew believed the aircraft could safely continue the approach. The PF successfully conducted the visual approach and landing to Runway XX and the flight crew alerted Dispatch and Maintenance of the engine cycle.