My friend missed almost 2 months of school for what seems like similar reasons and had just as much to catch up on when she got back :/ what you should do is go to see your GP or school counsellor (school may be best for faster results, they can refer you to specialists) and they can either get you started on medication, if you want that, or get you someone to talk to weekly or fortnightly to help relieve the stress.
Trust me, it is doable, it's just finding things to make it easier.
Good Luck, hope you feel better soon xx