You’ve three options.
1) is professional recovery. This will most likely work, but it’s a specialist job and as Alphabet says this is likely to run to several hundreds of pounds.
2) is attempt a recovery yourself. There’s free software to do this – Recuva is well regarded – but success is hit and miss. With the symptoms you describe, I personally wouldn’t be optimistic.
3) is suck it up. Take the hit on the loss and learn not to do it again.
There are other things you can try; one that crops up occasionally is sticking it in a baggie in the freezer overnight, for instance. If you decide to go down this road, be aware that these are “mend it or end it” solutions, you will almost certainly compound the problem in the likely event that it doesn’t work and you end up sending it away anyway.