Trust the science
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Yes.
theory is when hypothesis get some mathematical form.
Hypothesis is like "phenomenon A connected with phenomenon B"
Theory is like "phenomenon A is proportional to square root of phenomenon B"
Hypothesis is a broad assumpion about existence of connection of A and B. Since absence of something could not be proved, there is nothing to prove or disprove yet.
Theory is a next stage of obtaining knowledge that could already be practically verified by experiment and could be proven or disproven.
You are absolutely right, math is not absolutely necessary, proof could be obtained without it, just in most cases especially in physics/chemistry, some math appears when hypothesis become theory.
Strictly speaking, it's not math, it is predictability, which provide way of proving/disproving. If you could predict outcome of your hypothesis given input variables/conditions, and so could check if it happens in reality, it is already a theory.