I’m pretty sure this is a 10uf 35vdc cap, but just checking here to be sure.
Welcome to the Technical Forum. Yes. You are correct. The V would designate the 35 volts and the 10 would be 10uf. We do have a post in this. I suggest you keep this one as it is useful for the future:
I still check it and use it. I can provide a link to stocking options of the 10uf , 35 volt options: 10 µF Surface Mount Aluminum Electrolytic Capacitors | Electronic Components Distributor DigiKey
There is a lot to choose from, but you can narrow the list very fast. Just start by dimensions and apply filters. That should get rid of choices that would not work. Let us know if you need help narrowind down options.