Low profile graphics card won't fit

Hi

Appreciate any help and advice for my issue.

I have a Dell-OptiPlex-3040-2574-SFF-Desktop-Core-i5-6500-8GB-128GB. It's in quite a small case.

I noticed that the graphics card that came built in, is pretty poo, so I researched and found that a low profile geforce 750ti was recommended for my spec pc,

I've opened it up and discovered it doesn't fit. It fits in length ways no problem, but it's apparently too wide and I can't get it to plug in to the graphic card receiver.

Do I need to get a new case, or is there a way around this. I have taken a photo but not sure if that's something that can be uploaded here

Any help would be appreciated

Jon