Here you may find some institutions' and related offices' links that might help.
UNHCR, the UN Refugee Agency, is a global organization dedicated to saving lives, protecting rights and building a better future for refugees, forcibly displaced communities and stateless people.
UNHCR Turkey Home Page
"How to seek help as a refugee or an asylum seeker in Turkey?" guide.
Immigration Division of Turkey
Ministry of Interior's General Directorate of Migration Management (Immigration Division of Turkey) offices are the first step to seek asylum, apply for residency or work permit in Turkey. Here you may find more information.
General Directorate of Migration Management Home Page
General Directorate of Migration Management Residency Application
Immigrant Healthcare Centers
Here you may find General Directorate of Public Health Department of Migration Health Immigrant Healthcare Centers.
Department of Migration Health Home Page
Immigrant Healthcare Centers in Istanbul
Immigrant Healthcare Centers in Izmir
CFI's Secular Rescue Guides
Here you may find more information about asylum and immigration for US, Canada and European Countries besides funds, aid, grants, assistance programs, and organizations might help.