French body 1950s 10103 Rolex???

[ZWilderTenor]

Hello there,

I purchased this watch recently because I absolutely love it, and the information I have on it was that it's a post WW2 (1950s?) rose gold French body Rolex, #1010-3. But being that there are some strange things about the watch (namely the lack of crown on the face), I wanted to put it up on the forum and see if anyone might have any insight

Thanks in advance!
Zach