I think it's okay to accept an offer as long as you don't sign a contract because then you can't get out of it if a hospital you prefer more gives you an offer as well. And I want ICU or IMU as well...
I'm pretty sure I only applied for HCA TMC, it didn't really list a specific hospital name so I know it wasn't the specialty one. I received it late last week sometime! But I applied for HCA maybe two...