If you take off the pcie bracket entirely it should fit but I don't know from the picture whether you could even close the side panel afterwards. It definately won't be supported as well as one with a fitted plate. Look around for a low profile plate like the others said for your type of GPU, or if the GPU itself won't squeeze in, maybe your case just wasn't meant to in the first place.
This is a low profile CARD, with a regular BRACKET. If one or both are too big, it needs replacing and/or it won't fit entirely.
Always check dimensions before buying in future, especially SFF