I'm very relieved the initial opinion on sperm has been revised. In any case, I would think you are entitled to insist they work with you, including with your DH's sperm (unless your contract says otherwise) but it's nice not needing to go there. With single transfers the odds are something like 60-70% at RBA if I recall correctly, so sometimes you just fall on the wrong side of the odds, unfortunately.
I'm sure now you are focussed on recovering and healing from this latest ordeal. My thoughts are with you, Mrs. McIrish. I hope body and soul are recovering well. Please be kind to yourself.