[Zero10]

Is it an incandescent light?
If so, the initial current inrush will be far greater than 3.15A. More like 20-30A. However, this is only until the filament warms up, a split second.
You need a slo-blow fuse. I've never seen a light like that with a fuse in it. Around here, they just expect that the circuit breakers in the house work, which IMO is just fine.

If it is flourescent or something else, then the problem might be elsewhere. More information is needed.

The green wire should be tied to the ground wire if present, or to the bonding screw at the back of the box. If it's only a 2-wire source, just tie it to the box. It's not worth trying to re-wire to add a ground just for that one light.

FWIW I'm an electrician.