Since you are not chopping out might go for those cottages first. You won't work the gold until you grow anyways
So wheel》pottery》mining》writing
Otherwise you might have dead worker turns, and a couple 3

3

tiles are not bad.
maybe worker》settler》worker
Or worker 》grow to 2》settler 》worker -get that gold in play soonest.
Balancing worker turns to tech growth is the biggie,
mining the gold and size 2 close to the same time.
Or assuming you settle that marble for your 2nd city, it will have plenty of production,
wheel》mining》pottery》writing
so roading to it and chopping it before doing much more than the gold in the capital isn't bad
What do others think about burning 2 or 3 turns at the start in order to explore with the settler? It seems intrinsically wrong to me to be wasting turns when we're already so many turns behind on deity; but perhaps it could be worth in spots like this where we have a solid SiP capital but could have a better one if we move and get lucky?
Getting lucky is right, but it depends how fast it pays back. That gold pays back 2 turns of lost commerce very nicely and since it is Deity, you are looking to trade, not lead the initial tech war,
Even with the gold, this spot grows faster on a good tech path.
Worst case you move, it fails, you die quick xD