Although you title your question "Chemist in Los Cristianos", your actual question refers to Golf del Sur, so I'm a bit puzzled.
Your best bet is to go to Google Maps and enter into the search "Farmacias, Tenerife". From the drop-down list that appears, choose "Farmacias near Tenerife, Santa Cruz de Tenerife, Spain".
You'll then see every chemist there is in Tenerife and you can zoom into the map to access the particular area that is relevant to you.
(By the way, the "thank you" email that is automatically sent to everyone who asks a question was, in your case, returned to me as "delivery failure".)