Your main challenge is Newton's 3rd Law.
You are delivering 2ton/s of fuel to the side of the rocket.
Depending on the velocity of flow (which is inversely proportional to the size of the hose, and proportional to the ratio of density of the exhaust and propellant). You will be thrusting the rocket side ways.
Assuming that your hose is the same diameter as your rocket nozzle. Then the velocity of flow will be a percentage of the exhaust velocity.
This the thrust exerted sideways will be that same percentage of the exhaust velocity...
The result is the rocket will go sideways. Not good.
Assuming a smaller hose will result in worse outcomes (fyi the rocket nozzle is often a large proportion of the diameter of the rocket)...
This is the same reason that KSP style asparagus launch systems aren't used IRL.