Sucks this happened but its hard for us to determine from photos and not physically inspecting if its totaled.
From those two pictures...Yes, I would say it is. Remember, if the cost of the repair is close to the value of the car. Insurance will total it.
Why pay .10K to repair when its worth 6K, is what the insurance will factor in ( those are hypothetical numbers btw )
Seems likely to be totaled, looks like a big hit but I’ve seen worse get rebuilt and put back on the road. I thought for sure my ‘04 was totaled last year but it was repaired after the usual insurance hassle. Really surprised mine wasn’t totaled.