That's kind of weird - meeting a guy online and expecting it not to seem extremely suspicious and weird... If it was an old friend - makes sense... A new acquaintance from the internet - suspicious. (From his part as well... who knows what he's thinking)
To be quite honest, it should be okay. But you have to keep in mind that this will upset your boyfriend and he should know about it. He may not tell you that it upsets him but it will. He will either get over it eventually or if he has had past trust issues he will continue to worry about it. Just reassure him that you are with him for a reason and things should be okay.