To me, it sounds like she didn't want to stop what she was doing and call the doc to get it done. My guess is the receptionist was more annoyed about it than he was.
No, they fucked up therefore they need to stop what they are doing, fix it & fax it over to the hospital ASAP! If my doctors office told me they were too busy and they'd maybe get to it later I'd be back in that office throwing a huge fit.
I'd be pissed too. It was their screw up, not yours. It takes only a minute to send a fax and they should have done it immediately. 40 minutes later is unacceptable.