Hi
Sorry to hear your girl is poorly. What part of the world are you in? If you are in the northern hemisphere and she has not laid an egg for about 6 months, then that points strongly towards a reproductive issue. As explained by
@Eggcessive, an abdominal mass due to an huge impaction of infected material in the oviduct or internal laying or possibly a tumour putting pressure on a sciatic nerve would be my guess. If this is the cause you would expect to find some abdominal swelling. It is easiest to detect by feel rather than looking although in extreme cases it can become visually obvious. Birds will sometimes walk with a wide stance as the mass pushes their legs apart or perhaps more upright like a penguin. I appreciate she is no longer walking now but perhaps this rings a bell with her behaviour prior to this sudden paralysis. If you cup your hand between her legs and feel for swelling there and just below her vent and compare by feeling a healthy hen, it should be obvious if there is swelling. Another indication is soiling of the feathers below the vent and passing of mostly white urates or possibly turning yellow/green if she has stopped eating. Her crop may also be slow or impacted as the mass in her abdomen constricts her gut and prevents her from passing waste.
If she is displaying the above symptoms then I would say that it is a kindness to end her suffering. If you have ever done a post mortem internal exam of birds like this it makes you realise how desperate and uncomfortable the situation is.
Yes it could also be Marek's but it would be unusual for a 3year old bird to exhibit symptoms first. Usually it will be juvenile/adolescent birds in a flock that will be the first to show signs of it, but if you have added new birds to your flock in the past month or so, it is possible..... I'm really leaning more towards a reproductive issue because she hasn't been laying for several months and a 3 year old hen should still be laying.
What breed is she? High production birds are more prone to these reproductive disorders.