The one you are reading is devi kavacham/durga kavacham,
https://sanskritdocuments.org/doc_devii/dkavach.html which is found in markandeya purana. Shree Durga Kavacham/Devyakavacham is a part of Durga Saptshati / Devi Mahatmya.
The one you found is from kubjikatantra (https://sanskritdocuments.org/doc_devii/durgAkavach.html). So what you are reading is perfectly fine. (Also, as Rickross's comment says, you must ask the person for the appropriate)
Wait, there is more to it: The fact that surprized me too after I searched for durga kavacham. I seriously dont know anything about these.
Durga kavacham of Brhamandamohanakyam( https://sanskritdocuments.org/doc_devii/durgaakavach2.html)
Durga kavacham of MundalaTantra : (siddha sidhaswari ) https://sanskritdocuments.org/doc_devii/durgAkavacham3.html
Durga kavacham of MundalaTantra: (Parvati Mastak Patu) https://sanskritdocuments.org/doc_devii/durgAkavacham4.html
Durga Kavacham for vaMsha vRRiddhikaraM, : https://sanskritdocuments.org/doc_devii/vanshavRiddhikaradurgAkavacha.html