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Ohms law states:
Max U = square root of (P * R) = sqr (0.25W * 100Ω) = 5V
Max I = U / R = 5V / 100Ω = 0.05A
I don't know what fan you have there or how it behaves voltage/current/speed-wise.
All I can say is how much the resistor can take; and it can take 5 of the 6 Volts you have, leaving only 1 Volt (& 50mA) for the fan.
Fans usually won't start or run at 1V, so if the fan runs then chances are the resistor sees less than 5V and so it'll certainly survive.
Resistors that small reaches thermal equlibrium in half a minute or so, so if it doesn't turn brown in a minute there's no reason to worry.