Lol..thought that I'd give this one a go. I'm not much of a Deity player at all. I tooled around with it some and I did win a peaceful Deity GOTM many years ago. I have a reasonable idea early game starts though execution is a different matter. Mainly I play emp/imm level games now and then for fun, warmonger style.
Anyway, I settled Wash on the PH to the NE for the coastal, faster start. Coast to the E on the river was probably better, but this spot had nice resources and the two marbles. Scout-Scout-Shrine to start. The shrine was a mistake though it did net me stone circles. After seeing the natural wonder, that was obviously going to be my next city. Usually, I don't bother with a reli on Deity, but with that wonder it would be a good chance. I should have gone settler third.
Scouted the immediate area. Generous amount of huts but I did not get the one I wanted most, other than pops, which was a culture pop. I got, if I recall, 2 pops, Archery (honestly my favorite freebie tech), some gold, scout-archer upgrade, and maybe something else. I even get a hut or two passed the "portal of hell".
Set up NY and had plenty of gold to by Kailish. In fact it was only 50 gold. This allowed me to easily get a reli, I was like the third or 4th civ. I took tithe, and surprisingly got pagodas, and then took the hermitage won (probably prod would been better though). I settled Philly on the sugar. Altanta was much later, after NC to grab iron. I bought the Lib in Philly, but slow built in the other 3. NC I felt was late though before t100. For one, culture was just brutally slow here early game so the close wonder boost policy was in when I started NC.
I met Iroqious, Inca, and Brazil very early - and as you can see by this point I have OB with Inca and met Monty on the other side. Hiawatha has been my friend - whew- the whole game. Inca is not yet, but it will soon be. As for Pedro, I have been worker farming from here. My scouting showed that he was boxed in so it was fairly clear he where is settlers were going. I stole 3 or 4 of his settlers in our perm war. Bribed in Hiawatha. Inca just refused to be bribed in though which is annoying.
I plan to settle 2 more cities later. (I'm actually quite a bit passed this point and Hia would annoying take a spot S of Philly...I think he may be the biggest city spammer)
New York will be a guild city since it has good food and is on a river.
I have no clue what I going to do though. I expect to at least catch up tech-wise after Edu, but peaceful culture is probably not going to win here.
One thing I have had no issue with this game is Gold. No wonders at this point. Iroquois and Inca are hoarding those big time, and someone else. I may have had a chance at Oracle, but had more pressing matter.
Barbs were not an issue much at all btw. However, that 3-tile island E of NY spawned an early camp which was going to be an issue for trade routes. It had 3 archers too. So I did have to build a trireme.
- What did you think about before starting the game, what was your approach to this game?
Surviving 
- Where did you settle and what did you build first? PH to the NE.
Scout-Scout-Shrine-Settler
- How did the terrain and map settings affect your early decisions?
Biggest was going for a religion with Kailish and quaries
- What were your initial priorities?
Getting empire/infra up as fast as possible which meant slowly 
- What tech path did you follow and why?
POT>Luxes>BW>Sailing-Philo
- What Social Policies did you choose?
Tradition (culture was brutal in this game)
- What Wonders did you try to get and did you get them?
0
- Did you get a religion? What religious beliefs did you pick?
Yes! Tithe>Pagodas>Hermitage>Texts
I will say this though not sure if it is considered so, but I think Wash's UA is underrated.