I think you're missing the point, yes it is legal for anyone to appeal a conviction.
In the US (and I assume most of the rest of the world) that is dependent on your ability to pay a lawyer to do that for you and your likely outcome is impacted by the price you are able to pay for that lawyer.
The other point is, this is a conversation about a two tier justice system. Rich people get to spend their appeal in a mansion, poor people sit in prison waiting on an appeal.
So I would say, she's been convicted of a crime and has been given time for it, send her to prison like everyone else.
Once her appeal is successful, then let her go back to that life of luxury.