Step 1: Recall the resistance map of B. cepacia complex - it shrugs off aminoglycosides, polymyxin, the early-generation cephalosporins, and carboxypenicillins, while remaining susceptible to selected later agents.
Step 2: Place each option on this map. Ceftazidime (3rd-gen), temocillin, and co-trimoxazole are all listed as effective therapy against the organism, so they are out.
Step 3: Cefotetan belongs to the second-generation cephamycin group - exactly the cohort the bacterium is intrinsically resistant to. It is therefore the drug that will fail.
Step 4: The answer is cefotetan.
\[\boxed{\text{Cefotetan}}\]