Putting looks aside, tell me how your card looks like.
1) 
2) 
Picture #1 shows a half-height card, commonly used in
small-form-factor PCs and thin desktops. Think the skinny Acer
Aspire or HP Pavilion Slimline desktops.
Picture #2 shows a regular-height card, commonly used in all
other computers which are not small-form-factor. These are in
everyday desktop PCs that you see.
Which one do you have?
As far as a 560Ti is concerned, they don't come in half-height
flavour.
Also, if you're thinking of getting that card, then do consider
a HD6870 instead.
That's cheaper; and the performance isn't far off.
If you do not require the NVIDIA proprietary crap, that is.