Only she and her employer will know. Does she have ECA for her education? Does she have post secondary education? She doesn’t have IELTS so needs to meet requirements. She needs to plan the next 3 years while waiting.
It looks like your cousin is trying to remain in Canada. It is extremely unlikely that she will be able to remain in Canada waiting for approval for HCCP unless she can show that she has a huge amount of savings and doesn’t have to work. How long has she been in Canada as a visitor?