I think it'd be valuable to step back from the rules and examine what a real world charge is, then interpret from there.
One combatant running up to another (probably with weapon raised) and hitting him.
In the scenario, if F charged from the same general area as T, then M should be able to adjust target and charge F. Think of charging a line, when someone breaks out and charges at you. It's not much of a stretch to believe you could focus your charge on the breakout attacker.
If F charged from somewhere else, say to the side. You'd think M would be able to stop his charge, maybe not immediately, but in the time it takes F to charge a few squares. M may not get an attack, but wouldn't have to charge past F if he didn't want to.
If F charged from somewhere unseen by M, then M would probably charge past, granting all bonuses. He could then stop in a square or maybe two to respond (next round)
Also, i'm new to 4E and miniatures for combat. If F has a readied action to charge M after M moves 3 squares, how is the simultaneous motion handled? M doesn't stop his charge to wait for F to run up. Do they get moved alternating square by square? M is already in motion, it doesn't make sense that F would be able to move 3 squares before M gets his 4th.