My doctor and I decided on Copaxone, and just like you, the drug company and my insurance company had to talk and figure things out. After that process started, I got a call from the pharmacy, and had the meds delivered to me within 10 days.
And don't stress about it - once you're on the meds, you're on them for a while... so enjoy your injection free days

If you have any Qs, I've been on copaxone 3 months now and had some bad reactions in the beginning - but found work arounds. Good luck!