Sorry about the loss of your pond!
Easy thing to do might be to cut a large gap in the berm at the SW corner of your pond to re-connect to the creek. (Assumes your drawing has the up direction as due North.) Then divert the creek above your pond to flow into your pond basin.
While that sandy silt is loose, it should readily erode into the stream flow and be slowly removed from your pond basin. For the final stage, get a dozer in the pond basin and push out the last of the storm sediment, AND deepen the pond as needed.
Unfortunately, that is almost certainly ILLEGAL. Unless the authorities will grant you waivers due to storm damages? (Probably need State and Federal, and perhaps County.)
How much property do you own "south" of the pond dam? The next best option is to breach the dam and push material through the breach with a dozer. You will need a lot of space to spread that much material. If a significant portion is sandy, that can be pumped dry (or truly just moist) and it can be piled up a little bit.
Do you know your county NRCS agent? (If you have a good one, they are a wonderful resource.) Ask them for pond advice, and have them check if there are any waivers of rules due to the storm.
Good luck. You have a big project ahead, but it can certainly be accomplished.