Kyoto Shrines/Temple visit order

Few shrines/Temples I wish to visit in Kyoto. What order should I go with? Below are the places I wish to visit during my visit to kyoto. Can I cover them in 1 day?

- Fushimi Inari Shrine (how long do I need to get to the top of shrine and back?)
- Sanjusangendo
- Otagi Nenbutsu-ji Temple
- Okazaki-jinja Shrine

By the way, my intended visit date are from 16 -18 july 2023. I understand during Gion Matsuri 17th july the road will be closed. What time do they starts to close and open up again? How do I get around or go back to kyoto station after watching the Gion Matsuri if the road is still closed? I will be staying at a hotel near kyoto station.

I would drop Otagi Nenbutsu-ji from your itinerary, as that is the opposite side of Kyoto from all the other sites that you are wishing to visit. You would end up using an entire morning with travelling to/from Otagi Nenbutsu-ji and there would be no time left for all 3 of the other sites.

I would recommend only visiting Okazaki-jinja, Sanjusangendo & Fushimi Inari Taisha in that order. When visiting Fushimi Inari Taisha later in the day, the crowds should be smaller and the temperature (whilst still hot) will have dropped off a bit, making the hike more bearable.

As for the time expected to hike to the top and back of Fushimi Inari Taisha. Expect it to take around 2-3 hours at the minimum. Though you can stop and go back at whatever point you see fit. Most people reach the Yotsutsuji intersection (which is about halfway) and choose that as the point to head back down again.

If you're still wanting to visit Otagi Nenbutsu-ji, though, and have another day free. I'd recommend visiting it as a part of a day trip to Arashiyama.

Fushimi Inari, Sanjusangendo, and Okazaki Shrine are all within walking distance from the Keihan train, making them easily accessible.
https://www.keihan.co.jp/travel/en/pdf/trains/information-for-traveler...
https://www.keihan.co.jp/travel/en/trains/about-keihans-train-lines.ht...
You can check the time by searching the route on Google Maps.
Fushimi Inari is about a 5-minute walk from Fushimi Inari Station
Sanjusangendo is about a 6-minute walk from Shichijo Station
Okazaki Shrine is about a 20-minute walk from Jingu Marutamachi Station.
Fushimi Inari is open 24 hours a day (although the shops are not open), so if you go early in the morning (after sunrise), there won't be many people.
I went to Fushimi Inari, but I didn't climb the stairs, so I don't know how long it would take. (Stroll around the main shrine only)
Your destination is not included in the Gion Matsuri course, so there will be no traffic jams.
On July 17th, Yamaboko will follow the route shown on the map above.
午前9時出発（Departure at 9:00 am）
http://www.gionmatsuri.or.jp/schedule/
The festival is held on the west side of the Kamo River, but the Keihan Railway runs on the east side of the Kamo River.
If you want to see the festival on the way, I think it's easier to get to the Keihan train station if you look around Shijo Dori or Kyoto City Hall.
It takes about 3 minutes on foot from Kyoto City Hall to Sanjo Station. (Crossing the Kamo River)
Otagi Nenbutsuji Temple is located in Sagano, so it's quite a distance away.
Take city bus No. 93 to Nonomiya bus stop or the last stop, then transfer to Kyoto bus No. 94 bus stop and get off at Atagoji-mae bus stop.
https://www2.city.kyoto.lg.jp/kotsu/busdia/hyperdia/463022.htm
https://www.kyotobus.jp/route/timetable/pdf/421-3.pdf
On the way back, get off at the Nonomiya bus stop and take the JR line from Saga-Arashiyama Station for easy access to Kyoto Station.
https://www.kyotobus.jp/route/timetable/pdf/6079-1.pdf
Otagi Nenbutsuji Temple is open from 8:00am to 4:30pm.
If you want to visit, I think it's better to arrive about 30 minutes before.
https://www.otagiji.com/visit-en
Sanjusangendo is open from 8:30am to 4:30pm and can be viewed until 5:00pm.
Okazaki Shrine is also open 24 hours, and the shrine office seems to be open from 9am to 5pm.
Fushimi Inari is open 24 hours a day, so you can go the other way, but even with the street lights on, it can be a little scary at night.
If you go to the tourist information center at Kyoto station, I think you can get more detailed information.
https://tic.jnto.go.jp/eng/detail.php?id=1219

I have taken guests to the top of Inariyama three times and even the slowest ascent/decent was less than two hours. If fit, 90 minutes isn't too hard. Depends a bit on how much you want to look at on the way as there are some interesting spots to explore.