Halogen torchiere lamp and UV?

I have a 300 watt halogen torchiere lamp in my home office that I’m in 8 hours a day. I know that you’re not supposed to use halogen lamps without a glass shield because they emit UV light. The lamp has a “half shield”, where the light shining directly up passes through glass. The light shining down that then bounces off the metal reflector doesn’t pass through the shield. By the time the downward light is emitted by the bulb, bounces off the reflector and then the ceiling, and reaches my eyes, is there enough UV left to be concerned about?

For a while I had a torchiere lamp in my bedroom that had no glass shield whatsover, it used a fine screen as an explosion guard. I take it that UV is mainly a concern if you’re really close to the bulb, as in a desk lamp, or does a ceiling make a poor UV reflector relative to visable light. If torchiere lamps were damaging our eyes we probably would have figured it out by now?

the UV that gets reflected is well scattered.