i've just had a quick search on guitarchat and have seen your post about the guitar (i'm assuming it's the gear4music one) I would have described this more as a compact electro-acoustic rather than a thinline (which is more usually used to describe a hollow electric guitar in my experience)
the case i ,linked above will not fit, the hiscox designed for APX guitars would be the best fit but as this is a budget guitar i guess that even a 60 quid case is possibnly too expensive (these do pop up for sale on ebay and Facebook marketplace and i have picked up Hiscox cases for as little as 30 quid in the past)
I would look for one of the rigid foam cases probably, Gear4music might offer one as an option, if you take a few measurements (upper bout, lower bout, body thickness and length and total guitar length) then you should be able to match it so a suitable case.
Matt