“Adult Link” timeline: Merry goes back in time and becomes Yukari; she only reunites with Renko after thousands of years, having only been able to return by going “the long way” as in other timelines.
“Young Link” timeline: Renko goes back in time with Merry, and becomes Rin Satsuki just as Merry becomes Yukari. “Rin Satsuki” only exists as such in this particular timeline.
“Defeated Hero” timeline: Yukari prevents both of them from entering the time portal, thus allowing her (now-alternate-)past self to live out the rest of her life in a manner of her choosing with Renko, rather than either of them being forced to fulfill a stable time loop. Occurs when Link fails to defeat Ganondorf during the “Adult Link” timeline.