Photographs of the Dalai Lama are hugely welcomed but you may need to exercise caution and discretion in handing them out. If you think there is any danger to your intended recipient, refrain. They will not dare to accept an invitation to visit you in your hotel. Nomads may refuse your offer of Dalai Lama photographs. This is not rudeness but incomprehension of what you are up to.
Surveillance cameras operate in some areas.
You need to be alert to this. Tibetans live in constant fear. If you get into trouble with the police, act. Deny it strenuously. Laugh at the sheer absurdity of their accusation, but be polite.