I have a Sturmey Archer 3-speed hub on an ex-single speed. I got a flat on my way to work and couldn't ride any more. So I jumped on the train and took it to the bike shop near work (the shop who fitted the hub was too far from my work) to get them to fit a new tyre and tube. They've generally seemed pretty knowledgeable and competent when I've used them in the past.
When I picked it up, they'd removed the changing cable and shaft (sorry, I don't know what this is called) that triggers the gear change from the hub and when I pointed it out they didn't even think that was a problem. So I assume they aren't exactly familiar with Sturmey Archer hubs.
Unfortunately when they re-fitted the axle nuts they cross threaded it. So the nut was completely stripped and now I can't properly thread a new nut onto the axle, as the thread on the axle is also damaged.
My first thought is to take it back and get them to fix it. But if the fix necessitates a new axle, I don't trust them to do the work. So I guess I should ask them to pay for me to return the hub to the shop I bought it from so they can repair it, but I doubt they'll agree to that.
What is a reasonable expectation? How should I proceed from here?