Can I run a 9070XT with an ancient CPU?

I'm in the process of building a new PC for the first time in about 10 years. I managed to pick my power supply and 9070XT up locally, but now have to wait about another month for all my ordered parts to trickle in. I currently have a first gen i7-870 and a 1050 Ti (trust me, it's bad!)

I know that there will be a bottleneck on the CPU, but I should technically still see an improvement of performance (above 30fps at least). My concern is, is this safe to do for the new GPU or just in general?