Soak the whole plant, mother and child in a bucket until the roots are nice and bright green. They'll be very flexible then, and if you're as scared about the process as you claim to be, you'll be more than careful enough to untangle the roots. Just take your time.
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Room temp to lukewarm is fine, if your tap is safe to water with then use it. If the crown gets wet make sure to turn the plant upside down to pour off any collected water, particularly on the mother before you repot
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Be who you are and say what you think. Those who matter don't mind and those who mind don't matter.
It was kind of hard to tell from those photos, but if the base of the plant is shared with the "mother", I would leave it as-is, as the risk would be too great in separating them. The old stuff is dying away anyway.
I took another look of the orchid. Here is the look of the tightly bound root mess in the photos. the photos were taken after soaking the pot in old water for 1 minute.
there is some root rot but also some good roots.
is this a good candidate for water cuture, or, reporting in 6" pot?