Ok, I checked your recordings. Audibly, the rainbow passage is definitely higer in pitch and also seems to have a more feminine speaking pattern - more voice melody, less vocal fry. PRAAT gives me something between 150 and 180 Hz depending on which section I take out, some are even at 140 Hz. So I would guess your F0 to be 140 Hz from that and the other parts are probably more elevated because of the reading. The other voice file was more natural, also more monotonous, so I think it probably reflects more your natural fundamental frequency, whicn in this case seems to be around 135 Hz, basically in the same range as many here who had VFS, including myself (according to Dr Kim at least - my own analysis gave me 110-120 Hz - I try to take out the very high parts of a reading because they do not reflect my fundamental frequency ). What is very audible in both recordings though, especially in the one without the reading, is that you have a lot of vocal fry use (it sounds like a buzzing sound). This is normally a male characteristics, even though in the past year or so it has somehow become a fashion in women. However this drags down the frequency in a very low range when it happens. Lower than as if other women use their vocal fry. So i think you should avoid this, especially if you want to have a clean recording of your F0 - the 140 Hz section in the rainbow passage was one that had vocal fry in it - if I look just at that small section with the vocal fry, it even goes way lower.
So maybe you should do a reading of any other text - maybe some other book section or some technical manual (those are good because they do not promote too much voice melody 😉 ) in a relaxed way and then use this to determine your F0 and also send it to Yeson.