Will the
counsellor have experienced problems like mine?
Very possibly.
Having problems is part of being human. Many counsellors come into the work
because of their experience of successfully resolving personal problems
through therapy.
All will have had their own experience of being a client.
Therefore although the counsellor may not have experienced the particular
problem which you bring, they will all have had experience of being in
distress and of seeking counselling help from another.