She is incorrect just like all women.
http://en.wikipedia.org/wiki/Tritium_illumination#Small_arms_sights...encapsulated tritium lighting devices, typically taking the form of a luminous glass tube embedded in a thick block of clear plastic, prevent the user from being exposed to the tritium at all unless the device is broken apart.
Tritium presents no external radiation threat when encapsulated in non-hydrogen-permeable containers due to its low penetration depth, which is insufficient to penetrate intact human skin. The primary danger from tritium arises if it is inhaled, ingested, injected or otherwise absorbed into the body. This results in the emitted radiation being absorbed in a relatively small region of the body, again due to the low penetration depth. The biological half-life of tritium—the time it takes for half of an ingested dose to be expelled from the body—is low, at only 12 days. Tritium excretion can be accelerated further by increasing water intake to 3-4 liters/day.
Direct, short-term exposure to small amounts of tritium is relatively harmless. If a tritium tube should break, one should leave the area and allow the gas to diffuse into the air. Tritium exists naturally in the environment, but in very small quantities.