Commercial Fixed Wing
Flight Crew Air Transport Pilot (ATP)
Communication Breakdown; Situational Awareness
Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Provided Assistance; Flight Crew Took Evasive Action
Airport; Weather; Human Factors
I was flying; landed 15R and upon rollout we were decelerating normally and approaching intersection D. Tower asked if we could make D. Captain replied yes. He then took control of the aircraft; but apparently did not feel comfortable turning at D and continued straight. I then applied full manual braking to stop prior to the intersecting runway 9/27. Due to the rain and standing water I could not see any hold short lines but looking towards runway 9 it seemed as we did not encroach upon the runway. I called tower indicating we would need Runway 27. Tower canceled takeoff clearance for an aircraft on 9 then instructed us to continue straight and turn off at C at the end and hold short of 9.
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Air carrier First Officer reported they experienced a transfer of aircraft control issue during landing roll at Boston airport.  The crew missed their cleared exit taxiway.