Oh dear...Anjaneep why is the egg not in the incubator if it's hatching? The air inside your room does not have the heat, nor the humidity required for any egg to hatch or for the chick to be alive. You need to put it
back in the incubator and hope it's not too late. Never take an egg out of the incubator when it's time for hatching. I know you're young, and you're just excited to have a chick; it's a very exciting time!
but...this is not healthy for your chick. Do you have a parent or guardian (maybe an older sibling) that might be able to take you to the library and get some books about chickens, incubation and raising them? Libraries are a really good source. So is this site, but I think checking out some books might be the best idea for you.
In regard to the "green stuff" that isn't normal at all. There should be a greenish-yellowish-beige sack left behind *after* the chick hatches, that's their waste sack and it's perfectly normal. Sometimes they'll drag it around with them for a few moments before it slides off their bellies. But, if green stuff is seeping out of the cracks in the egg - s
omething tells me the egg is rotten and actually exploded, rather than a chick hatching.
Are you sure it's green stuff - or is it feathers? Damp and slimy yellow feathers do carry a green tint to them...especially if it's a breed of chicken that has blue to black skin. (Mine did, I can attest to that).
If the egg is rocking around, and there is movement, it's alive and really needs to be put back in the incubator. =(