Maybe the flashlight doesn't work, because the battery is not fully charged, or worn out (if the battery is not rechargeable). Charging the battery (if rechargeable), or replacing it, should fix the problem with the flashlight.
Maybe the flashlight doesn't work because it's disabled in camera's settings, or set to auto (in this case, it will work only when the light is poor). Enabling it in the camera's settings should resolve this issue.
If your digital camera is older, it might take a couple of seconds for the flashlight to charge. Wait for a couple of seconds, before releasing the shutter (capture) button.
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