OK, I do appreciate the fact that you openly admit that you're British. A lot of people on here are hiding the fact that they're not American and therefore don't know enough about US court systems to know that they're talking nonsense.
I'll happily fill in the details. In the US, criminal election fraud cases are always always ALWAYS ruled as narrowly as possible. If you can prove that 200 votes were fraudulent, the judge will say "ok, knock 200 votes off the vote count" and will NEVER say "ok, then the entire election was invalid". That would be absolute anarchy and we didn't get through 240 years of democracy by overturning an election every time the unhappy part found a clerical error in fifteen ballots.
Because of this, and because election law is ALWAYS run by the states, most of these lawsuits are going to state courts and not federal courts. This specific lawsuit in Pennsylvania was interesting as it was one of the very few that went to the federal court at all. So let me be clear about this: Trump was dead lucky just to get a federal judge in the first instance; complaining that it has to be a conservative-appointed judge is just asking for the ridiculous. If you were to get convicted for murder, you could complain all you want that your judge has a liberal background but it doesn't get you anything, does it?
Now, there are three layers to the federal court system, of which Judge Brann represents the bottom layer and the SCOTUS represents the top layer. If Trump DOES appeal Judge Brann's ruling, it goes to the middle layer, in this case called the Third Circuit. That is NOT the Supreme Court. Trump would have to appeal THAT court's ruling AS WELL before the Supreme Court gets involved. So that's not one but TWO appeals that Trump has to pull off.
And why is that unlikely to happen? Because in practice, federal courts do not like picking up appeals unless you have standing. Judge Brann already made his ruling: when a federal court makes a ruling, the higher federal courts consider it done UNLESS you can prove there was something procedurally wrong with the lower-tier federal court ruling.
But there was nothing procedurally wrong here. This wasn't the court itself making a mistake. This was the plaintiffs just not doing a very good job of presenting a case. YOU DO NOT GET AN APPEAL FOR THAT. Not for electoral law and not for anything. That's not what appeals are for. If you just didn't do a very good job, the courts consider it done. Biden won.