Um, a little metallurgy for my friend Clarice.
Most metals are not magnetic. Examples include titanium, along with lead, silver, gold, platinum, aluminum, copper, and in fact a big chunk of the periodic table. There are only a few magnetic metal elements: iron, nickel, cobalt, and two rare earth metals. The two rare earth metals are dysprosium at a low temperature, and something called gadolinium, which we Aners know as the contrast agent in MRIs. Other magnetic metals, such as steel, are alloys that contain iron, nickel, or cobalt.
Magnetic metals are very easily detected by metal detectors. Non magnetic metals can be detected as well, but only if there is enough of them and the detector is turned up high enough. Airport metal detectors are set low enough not to trigger on small amounts of non magnetic metals, such as the titanium in your head. (The way things are going, though, that might change one of these years).
I have no idea what the requirement for no metal in the head might be, so I can't say if titanium would be an issue or not. I did Google this, and came to a web site called ClinLife that has details on this trial, including this sentence: "Tinnitus NOT due to a neurological disease or to an ear, nose and throat primary disease (otitis media, Meniére´s disease, otosclerosis, etc)." I'm not sure, but I think having an acoustic neuroma might fall into that category and disqualify you.
Even so, if the trial goes well and the drug proves useful, it may become available to us in the future. We can always hope!
Steve