Time Machine deleted my first backup to make space for a new one, is there anyway to recover it?!?!

So I had all my stuff backed up to December 23 on an external hard drive with Time Machine, then I deleted it all so that the next automatic backup didn't have any of these older files. Today Time Machine deleted my original backup to make space for a new one and so I lost Decemer 23, now I am screwed..HELP?? I accidently let it delete or something, I don't really know, I know this was just a series of mistakes and now I'm desparate ):