Dating My Coursemate: Should I?

Dating My Coursemate: Should I? 

An NGLatest reader wants your advice:

I wouldn’t wanna bore you guys with a long story.
I get to know this
lady recently in my class & we’ve being getting along quite alright,
I like her & I think she likes me too because I’m getting the
message from her but I’m a bit skeptical on how it will look like if we
start dating, I’m very confident of the fact that she won’t turn me
down.
Now my question is;
Will it work out well considering the fact that we are in the same department/class?
What are the consequences if the school management gets to know about it?

Please no hating but constructive criticism will be welcome.
Thanks!