Connfly 50-mil IDC mating part (types of socket/connector pairs)
Sometimes is better to do search by what you want. In your case: board-to-board connection and add filtering: 1.27mm pitch, 10-way.
Please check for AMPHENOL manuf. part no.: 87024-605LF
RS-online
or
DigiKey
also Samtec part no.:   ISDF-10-S-M or SFM-105-02-S-D-A-TR
ISDF-10-S-M
SFM-105-02-S-D-A-TR