Well, I just assumed you had other stitching near the couched thread. If not, I would fold back the Japan cord under itself & couch it using the backside threads or couching stitches only. When I have to rip out stitches, I try to get a short tail, so I don't have to rip out enough to thread a needle. Then I fold it back & couch it on the backside of other stitches, using a single strand of floss.