Contract

Your daughter does not have to attend a private school thqat her parents don't want her to attend, but whether you would still be obligated under the contract you signed once she left depends on (a) what the contract provides; and (b) whether there is any basis to invalidate the contract.  There is no such basis apparent from your question, unless when you write that "it's not like I thought it was going to be" you meant that you had been defrauded into contracting, i.e. that there was a factual misrepresentation made to you by the school which it knew to be false and which you relied on in contracting.  In most cases, such a misrepresentation would have to be in the actual written contract to be a basis for negating it.