We moved it further along in the same East facing bed, but it is now more exposed and getting a lot more direct sun than it used to. We also rotated it 180deg so that the opposite side of the tree now gets the morning sun. I have given it doses of Seasol solution around the base of the tree and sprayed the foliage with Seasol fairly regularly.
We have had some very hot weather (37deg) for the odd day or two here in Melbourne over the past 2 months.
The leaves of the tree have lost the deep green and are yellowish with "burnt" spots or edges.

It will eventually get a bit of shade from a Blueberry Ash I planed alongside it - but that will take some time.

Has anyone got any suggestions? Should we just keep hoping it will come good in time once it gets used to its new location, should we move it to a more sheltered spot, or is it going to perish? Will it survive a second move if we have to move it again?

And I think I'd hold the blood and bone, etc. as well - you don't want to burn the new roots or overdose the plant. In any case, the camellia has to produce new roots before it an effectively take up nutrients. Give it some nice mulch (but keep it away from the trunk), keep moist (not wet) and BE PATIENT.

The weather is going to cool down a bit and that will take some of the stress off the plant. If it is likely to get blown about in the wind, consider putting in three or four temporary posts with attached shadecloth. At the moment, the plant is probably a bit top heavy with few anchoring roots and movement is likely to break the new roots. The shadecloth will filter the wind and keep the plant stable.

Alternatively, use 3 or 4 guy ropes (pad the trunk well) atttached to short posts to stablise the plant.

There is probably already enough nutrients in the soil for the plant to access. If you feel you have to feed her, perhaps a couple of applications of a weak Thrive solution applied over the foliage might be more beneficial.

I used to fertilise my camellias with blood & bone and the very occasional application of Azalea & Camellia stuff (when I remembered to buy it). Since our severe water restrictions were imposed a few years ago, I stopped fertilising for fear of burning the roots. They have to make do with lots of mulch and all the goodies (and baddies) in the bathwater. They haven't turned a hair - growing happily and currently most have baby buds forming. I was even rash enough to plant two more last spring. More bucketing for me.