Stuck In Egypt. Help!!!!!

Due to a medical emergency, I gave birth to my daughter early after being medically cleared to fly here for a pre-arranged visit only due to last about 10 days. On my last day, a doctor broke my water which caused me, of course, to have to have my daughter here against my wishes. Per Egyptian law, I was not allowed to receive her birth certificate because I’m here alone & am not legally married to the father. Since then, this entire process has been a literal nightmare. The authorities here do not care that I’m American or about anything I have going on back home that I need to get back to including my other child who’s 1 year old. They are stating that they’re “not convinced” of the documentation the embassy provided me to give them to allow me to get her birth certificate & because she’s “not registered” they are saying I’ll have to leave her in the country which I WILL NOT DO!!! Does anyone have any advice or directives you can give me to help? We need to get home ASAP & I will not leave my daughter in a foreign country where I cannot speak the language because I know for a fact I’ll never be able to find her again & I refuse to do that. HELP!!!! Any piece of advice or information would help me greatly. Thanks guys.