Emergency Medical Care: Lima
The U.S. Embassy maintains a list of medical providers in Lima; although they do not officially recommend any, the list is of places used by embassy staff. Generally, the places listed will have someone on duty who speaks English. A couple of clinics they list:

Clínica San Borga
Av. Guardia Civil 333, San Borja
51-1-475-3141

Clínica el Golf
Av. Aureliano Miro Quesada, San Isidro
51-1-264-3300

The complete list includes specialists, including cardiologists, dentists and more. You can find the complete, up-to-date list here:

http://lima.usembassy.gov/medical.html