The most important factor is not size or weight, but stall speed. Because stall speed also determines Vref (usually somewhere between 1.2Vs and 1.33Vs) and thus how much influence the x-wind has on your approach path. A 15 knot crosswind in an aircraft with a stall speed of 45 knots/Vref 60 is a totally different matter compared to 15 knots cross in an aircraft with a stall speed of 100 knots/Vref 130.
Second factor is the size of the rudder area since that determines the amount of slip you can induce to counter the x-wind.
And then there's secondary effects. Do you have enough aileron authority to counter full rudder, do you have enough clearance under the wing (think underwing engines as on large airliners) for the bank angle you're introducing with the slip? Is maybe your undercarriage designed to withstand a certain yaw angle while landing?