I don't know to come out at school or not

Hey ! Nice to meet you too.
I'm probably not gonna be much of a help because I realized I was a Trans guy just a few months ago.
But the fact that you're out to your family and friends is for me the most important thing !
I just have one question, do you like/prefer when your friends see you as a cis guy ? 'Cause technically you can be out without telling people, and that's what I plan to do later on. Just because you're trans doesn't mean everyone needs to know ! If you think it will be better for you to be out before transitioning, do it !
And I don't understand why the long-term benefits would not last with your scholarship ? Sorry for this question but I am French and your scholar system is really different from mine if that makes sense.
One last thing ! Being anxious is, I could say, "normal". But do not stress about coming out or try not to worry ! I say try because I worry about coming out to my family. Everyone does ! But talk to your friends or family about how you feel about coming out. And the most important thing, go at your own pace ! Do not speed about doing it ! That's when you'll feel more anxious
I hope I helped you, even just a little bit !

 

I would consider the environment of your school. Maybe your peers and teachers will use it as a weakness to exploit if they already didn't like you, or people will see it as a reason to start disliking you. If you're school has a better environment then it may grant you protection if people see your bullies as bigots instead of kind-of funny jackasses.

Either way, if you come out be prepared for people to come up to you out of the blue to ask weird questions about transitioning or talk like they have a right to your personal details in the name of curiosity. You may encounter pandering people who try to claim they know how you feel or do the bare minimum to befriend you in order to cash in on your minority status. You probably won't have to deal with fetishists who are into trans men, but that's something you should be prepared for in the future.
On a whole I think, when coming out to a group that can tell you aren't bio-masc, you should mostly consider what you value more: being treated like a normal person, or being true to yourself, as well as how much you value their opinions of you.