To be fair dealers have to be a bit cautious about promising that something will definitely be covered by warranty until they have done some investigation. They will not get paid by Honda/independent warranty provider in some circumstances . Such as if there is evidence of unauthorised repairs directly or as a consequence of nearby repairs/tinkering, evidence of negligence by the owner ,, external damage such as animals chewing wires, a branch thrown up from the road damaging wires, or a mirror damaged by a mirror strike rather than the known folding fault. etc.
But if it is definitely a faulty component covered by warranty it should also include any initial inspection. Physical damage may be covered insurance,but subject to any excess.
Being taken for a mug by some garage staff is not exclusive to young looking women. Some will try to bamboozle anyone they think knows nothing about cars or their consumer rights. (It can even happen to polite, casually dressed ,retired greybeards

) It helps if you can come fore armed with some knowledge, and its very satisfying if you are able to politely dissuade them from any preconceptions they may have about you.

.
Maybe even take along friend, parent, etc who is a bit of a consumer pitbull ,who remains discretely in the background but able to concentrate on whether they may be feeding you, erm, nonsense. They dont need to know much about cars either but might ask pertinent questions.