Is it safe for a russian fleeing the war to live in Georgia?

I'm a russian citizen, I do not approve of the things russian government is doing. I lived abroad for the past 4+ years. I mainly speak English, and politically/culturally I'm closer to being an American than anything else.

But I do have a recognizably russian name.

I'm looking for a safe place to live.

Do you guys think I going to be safe in Georgia? Or will people hate me for being a russian, and I'll have to fear for my safety?