I think the pitch is ok. It sounds feminine to me, but due to the language difference it is hard to tell if there may be any prosody issues with voice melody and intonations and speech patterns... Those are something for voice therapy though. 200 Hz is perfectly female. I have 180 Hz and this is still at this time always read as a female voice.
Regarding Dr Kim and a second surgery, I believe if you ask him, he will tell you to not do it. He will check your voice sample and say the pitch is in a female range and your voice has mostly a female sound to it, so there is no need to do another surgery. I am not even sure if it is possible to do this surgery as an "add on" - Probably he would have to re-do it completely and if he really can be brought to do this, he would have to charge you the full price again. But I personally believe that he will decline another surgery on a voice like yours...
He did decline to do surgery on people with high pitched original voices who wanted to feminize those even more or were hoping a pitch increase would feminize their voices, when other factors were more of an issue. Also I asked him once if I should consider another surgery because I was a bit unhappy with a 170-180 Hz pitch that sometimes drops to 160 Hz or even lower, but he said that any further surgery would pose the risk of voice damage or an unnatural voice.