This is hard to say, especially as no structures are provided. Even the dehydration of n-butanol gives a mixture of alkenes, so I'm anticipating a possible mixture just from the alcohol without considering whether the thiol may participate. Will it form a tetrahydrothiophene, etc?
I would argue loss of the thiol is less likely as it is less basic than the alcohol. However, since dehydration of a primary alcohol requires more vigorous conditions, I cannot be certain of how this may affect the thiol.