Roni, I think you sound female in the first two voice samples and somewhat "gay" in the third (probably coming from you using feminine inflection patterns in combination with male resonance). Your pitch is pretty high in all recordings, I think the second recording is totally ok, pitchwise it would be in the female range and your resonance control makes it sound that way too. What worries me is that you are straining your voice just by doing resonance changes - for this you should look for voice therapy in any case to see what you may be doing wrong there. Voice #2 should be possible to use in a relaxed way without straining from talking long.
The trained voice sounds ok, although you seem to add a bit of a different speech pattern to it - it sounds like you have a slight lisp there - the pitch is really high, I think it is not necessary to use that high of a pitch if it is uncomfortable for you.
That said, of course voice and body need to match and if you are as you said short and petite, maybe voice #2 would be too low. In that case, Dr Kim would also not turn you away, because he recognizes the need to match these two things. The main reason he would turn away someone, or at least first recommend against surgery is that the voice is going to be too high for your stature, body size, etc - or that your vocal chords are already short, which is the case in some transwomen coming there for voice surgery but already have rather high voices. You cannot shorten the chords much more if they are already short - you need to leave enough room for breathing.
So I would do the following first: Send a recording of you reading the "rainbow passage" in all three voices to Dr Kim, tell him your body stats, maybe send him a full body photo alomg with it and ask if surgery would make sense. Then, optionally, you could get to a local ENT and let them do an endoscopic examination of your vocal folds, keep the video or photos they make and the full report and send that to Dr Kim. If they can, let them measure the length of the chords.
In any case, I would recommend booking a few (maybe just 5) sessions at a voice coach to deal with the issue of you straiing your voice even if you do not alter pitch. Maybe you picked up some bad habits like I did to change your voice and those can be a rock in the path after VFS when it comes to healing and finding your new , higher pitched voice.