There are many people who have survived MRSA. It's not like there isn't anything they can ever do about it.
Bedbugs will bite people, just like rats, mosquitoes, fleas, ticks, etc. If they happen to catch something from that person, or a tick bites a chipmunk infected with Lyme Disease and then bites a person, they will pass that along.
It's just a bit crazy for a nurse to lock her self up over it, but I'm also glad should something happen to me she'll be locked in her plastic bubble and not treating me.