In Ahmedabad the board is often the smaller question and the medium is the bigger one. GSEB runs in both Gujarati and English, plenty of families move a child from one medium to the other somewhere in middle school, and a tutor who knows the subject but not the terminology the textbook uses is of limited help in an exam.
In practice that switch looks like a child who can explain a concept perfectly well aloud at home and then loses marks writing it down, because the words the paper expects are still new. It also leaves parents unable to check the work themselves, which is frequently the real reason a tutor is brought in at all. What helps is someone who can move between both languages inside the same lesson — explain in Gujarati, then make the student write the answer the way the paper wants it.
Geography is the other practical constraint. Tutors on Tuitionites teach across Satellite, Vastrapur, Prahlad Nagar, Bopal, Naranpura, Ghatlodia, Chandkheda and Maninagar, in person and online, but the western neighbourhoods and the older eastern city are most of an evening apart once traffic across the river builds. Decide early whether you want someone at the dining table or a screen session that takes the travel out of the arrangement, because that choice changes who can realistically teach your child every week.