OP I am so sorry you are in this position. You very clearly need an urgent medical procedure that is being denied to you. I, like you, can't quite believe this is happening in the UK in 2019. 
This is exactly why I have a problem with people being able to practice as specialist doctors but opt-out of the bits they don't fancy. "Religious reasons" are not good enough - for goodness sake don't go to med school or specialise in an area of medicine that you are not willing to fully practice if you have religious or any other objections.
How that doctor could look you in the eye and think that it was appropriate to say she wasn't judging you is a complete mystery to me. Likewise telling you you aren't at increased risk of infection when its fucking obvious to a layperson and another fucking doctor has fucking confirmed it!!
You took very sensible precautions to prevent pregnancy by using the coil.
You have been flooding after your procedure and have a medical history of womb infection and sepsis, and you and the doctors know that you are at high risk of the same again. Sepsis is about as fucking serious as infections get.
Heartbeat or no, the foetus is most likely not viable at this point.
Your health and life is at acute risk and yet she, a qualified and capable medical fucking professional, can stand in front of you and refuse to do the already scary and risky procedure you very clearly need but don't worry, she's not fucking judging you. She can fuck the fuck off treating any women for anything, if her moral compass is still telling her that it's right to make you wait 24 hours of more risk, until somebody else comes along who is willing to do the very fucking clearly needed thing and all she can say is that she's not fucking judging you!!! I'm SO ANGRY on your behalf!!
I'm sorry. My ranting isn't going to help you. My only advice is for you and your relatives to be as big a pain in the ass to the department as you can be; escalate, talk loudly and assertively (NOT aggressively) to them, repeat that a DOCTOR has said you are at increased risk of infection, that you have a medical history of womb infection and sepsis and need this treatment NOW not tomorrow. ASK LOUDLY what they are doing too ensure you get treated today. Ask loudly for doctors' conflicting messages to be written on your notes. Ask loudly for updates, and for them to be written on your notes every half hour or hour. Ask loudly what the urgent complains procedure is, and follow it. Explain loudly your symptoms. Be polite. Be INSISTENT.