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Mixed opinion on the issue as some users have been able to use a 250w brand-name PSU to run similar versions of the card you have - note however that this would be dependent on the card-vendor and the PSU used.
Others have not had a good experience with a no-name PSU with more serious consequences.
As for your card, recommend that you remove the card and try it on another PC (possibly a friend's) to see whether it will still work - ideally the PSU for your card should be "Minimum 300 Watt power supply (Minimum recommended power supply with +12 Volt current rating of 18 Amp Amps)". If it still works, you could then upgrade to a better PSU.
Hope things work out and regards