I know it's a Daily Mail link but I've taken one for the team and read the article. The person bringing the action (I'll call them X) is biologically female, got a GRC a year or more ago and has had a double mastectomy (euphemistically called top surgery in the article but that's what I understand this means).
X, who is single, then decided to have a baby by artificial insemination. This was presumably facilitated by a fertility clinic. X now wants to be registered as the baby's father even though X went through nine months of pregnancy and then childbirth.
I'm not familiar with what gets recorded on a birth certificate when the baby's biological father is a sperm donor. I know the child has a right to know the ID of the bio father at some point, so presumably the birth certificate has to say something different, otherwise the parents could just not tell the child about the conception circumstances.
So if X is successful, the child will grow up calling X Dad and with no one to call mother. However, at some point the true position will presumably have to be explained.
This doesn't strike me as ideal for the child.