Arelative acquired the infection from this patient prior to his death but after the patient relapsed. would the relative's infection be resistant to rifampicin therapy?

The relative infection will be resistant to Rifampcin therapy. The bacteria that was responsible for the patient's death is probably resistant to drug and that is why the patient died. If this bacteria is allowed to reproduce, it will pass its drug resistant gene to its offspring.

Some of her  assignments would be creation of drugs. she is a medical chemist after all so she'd need to have the necessary knowledge to make medicine which can later be sold in a pharmacy