There is conflicting information on the discussion pages re kendi and hissetmek. A few questions back, one of the regular contributors said kendi must be used with hissetmek, and here we're being told it's optional.
In the comments section for that example, its explained that "kendi" is optional but is a very common thing for natives to say. FYI for all learners
Is it required to use the verb in this tense for questions?
Nope, but you would use it here. You are asking about someone's present and ongoing condition ergo you use the present continuous.