I thought the words of Harav Chaim Berlin zt”l, son of the Netziv, in a tshuva from his sefer, (Nishmas Chaim, Sh’elos U’tshuvos Harav Chaim Berlin, tshuva #135, edited by Rav Yaakov Kosovsky Shachor)would be helpful in this discussion concerning shaking a woman’s hand:
???? ??? ?? ??? ????? ??? ?????? ?? ??????, ??? ???? ?? ??????? ??? ??? ????? ??? ?? ??? ??? ????? ?????? ?????????? ??????? ???. ???? ?? ???? ???? ??”? ??? ????? ?”? ?’ ????? ???? ???? ???? ???? ??? ?????? ??, ????? ??? ???? ????? ???? ??? ???”? ????? ???? ??? ?????? ?? ??? ????? ??? ????? ??? ???? ??? ????? ??? ????? ???? ???? ????. ???? ?? ???? ????? ??? ?? ???, ??? ?? ?? ???? ?? ????? ??? ???? ?? ?????? ?????? ?????? ?? ?? ??? ???? ???? ???? ????? ?”? ??? ?????? ???, ?????? ???? ????, ????? ?? ?’ ????? ???? ????? ???? ?”? ?’ ???? ?? ???? ????? ?? ???, ??? ????? ?? ???? ?’ ??? ??????? ????? ???? ??? ???.