While Menkui Kinya serves meat, it’s a popular local spot near the Gion-Shijo station for those seeking vegan-friendly udon and tempura. They have clearly marked vegan options on the menu and even provide labeled vegan soy sauce and tempura sauce.
They offer freshly-made udon noodles with 2 vegan tempura options - 6-vegetable tempura and green onion tempura. The 6-vegetable one I tried is light, crispy and delicious. The prices are also reasonable compared to other vegan-friendly places in Kyoto.
The restaurant is quite small which means there's likely a wait for a table. If the wait is too long, consider Gion Soy Milk Ramen which is just around the corner.