Adjuster sent my car to a body shop W/o an in-house mechanic

TN/ Progressive

So i damaged my car a few weeks ago. My insurance sent my car to a body shop. Body shop had stated needing to disassemble the car but like also needing to wait for a mechanic to do so because if something was wrong the mechanic would need to fix it. Issue is they don’t have an in house mechanic and parts needed to be ordered. The mechanic didn’t come in after parts arrived until a day or two later. Now as they are fixing it, they need other parts ordered. This is quoted to take a whole extra week after 2 weeks with my car only being actually worked on a few days ago. A friend said I should express more frustration and should get some sort of compensation. I’m not sure what kind to expect or from who. I feel like my insurance should have sent my vehicle to a place that would have properly fixed it at the quoted time which was a reasonable time frame. But now it’s quieted for a week later and interfering with tracking I have. Can I get my insurance to pay for a rental even tho I don’t have car rental insurance??