Is it safe to put the money in the hotel safe for the agent to pay abroad?

Not safe. The safe is not the safest. Safe deposit boxes are only suitable for supervised occasions, not for putting a lot of cash in them. It's better to deposit the cash in the bank. From the news, we know that there are many cases of opening security doors and vaults with cutting machines, electric welding machines, electric drills and other tools, and it is not uncommon to transport vaults several kilometers away to open them on the spot and steal property. So the safe is not the safest way to store things.