You will need a short cue for the hardest shots on the table. Head to foot you don't have enough room, so anytime the cue is at the head of the table near the rail, you will be using a short cue, especially if you are shooting toward the foot rail.
Side to side you are fine.
It will be a little bit of a pain, but it's better than no table at all. :)
When I say head to foot I also mean foot to head rail shots. You don't have quite enough room.
Shooting a long shot like those is hard enough without having to use a short cue. If you can deal with that, you will be ok.
You might be better off with a bar box? A 7 footer will allow you to shoot more balls without the short stick?
The short stick can be a bit of a pain!
About 30 years ago I found myself in the situation where I needed a short stick. What I did was after I cut off about 8", I bought some lead "shot", as in shotgun bb's. I drilled about a 3/8th hole down through the back of the stick about 6 ", melted some lead, and poured it in the hole. It wasn't perfect, but it was a usable stick for the tight shots.
The weight was about right.