they simply want doctors who care, will listen, and know what they're doing

they simply want doctors who care, will listen, and know what they're doing
=
they simply want doctors (who care them ) will listen to them (patients), and know what they (patients) are doing?

Context:
Reading the sites reassures me that what patients want from their physicians is not all that different from what good physicians want to offer their patients. Patients are generally not unreasonable, high-maintenance consumers; they simply want doctors who care, will listen, and know what they're doing. Far from being antagonistic or depressing, the stories renew my commitment to healing and reinforce my belief in the power of caring.