I'm searching for a artificial load for an old computer PSU (cheap chinese 400W, only passive PFC) and found in a box a couple of halogen bulbs rated for 12V AC (35W). Tried one of them on the 12V wiring (the yellow one) and the bulb worked for 20-25min without problems - no strobing, no overheat, PSU looked stable for its class (12V rail showed ±0.08-0.15). What can possibly go wrong?
It'll work just fine.
Note that a bulb with a cold filament has much lower resistance than hot, thus inrush current at turn-on is quite enormous, like 10x rated current.
No trouble for a 400W PSU, but if you try your "35W" bulb on a 35W PSU, most likely it will have trouble starting up.