Welcome to the Wefugees Community and thank you for reaching out to us.
Unfortunately, it is hardly possible to predict a duration of any court case, as long it is not an "Eilantrag" (in some legal fields, as in social law, people can file such an urgent application in order to get a much faster but also provisionally court ruling).
You mentioned an emergency health issue - is the appeal about asylum or a medical treatment, for instance? Maybe a few more details can help us in providing some more information.
All the best,