What size bulb was in that lighting fixture?
Seriously, my experience with Eucalyptus is very limited but, that looks like a candidate for removal. Is there less room around it than the pic seems to suggest?
P.S. Charred wood is of course brittle and weak but unburned wood under the charring can actually be stronger than 'normal'. Several of the Eastern Woodland American Indian tribes reportedly preferred to use staves from fire-killed trees for their bows.The wood became sronger in compression while maintaining tension strength.