Hello! Congrats on your twins! I'm also 18 weeks pregnant with MCDA twins! Let me start by saying that "absent end diastolic flow" is not necessarily as scary as it sounds!
One of my twins was diagnosed with the same thing at about 15 weeks, but actually at my last scan (17 weeks) the flow was positive again! My consultant said that end diastolic flow can vary quite a bit depending on how/when you measure it.
I think the main think about end diastolic flow is that having an "absent" flow is not necessarily causing problems for your baby right now, but it can be an indication that a problem might be developing. In my case, my consultant thinks I am probably developing twin to twin transfusion syndrome (TTTS). However this is NOT just based on the end diastolic flow, but also on other things - Mainly, one of my twins has a lot more amniotic fluid than the other.
So even though I think you shouldn't get too worried yet based on this information alone, I completely understand your fears and worries. I've been struggling emotionally in this pregnancy since about 12 weeks (when my consultant first saw sings of TTTS) and I know what a tough road it can be.
At this point it is absolutely vital that you are seen by an expert. One week to wait for the referral sounds okay to me (I'm being scanned once a week at my fetal medicine unit), but if you are worries, why don't you ring your midwife/consultant? Or ring the fetal medicine unit directly? I have previously spoken to my consultant on the phone when I had a question. They tend to take really good care of you at the FMU because they know many women who go there are not having an easy time.
Anyway, I wish you all the best and I'd love to chat more if you like. Do PM me is you have any other questions!
Good luck