Answer

Touch is a halakhic prohibition in every respect. What exactly am I supposed to think about it? When it is not done affectionately and does not lead to forbidden thoughts, there is room to be lenient (such as shaking hands out of politeness). As for hearing a woman's voice, there indeed is a prohibition, but there are differing opinions regarding its parameters (the very fact that this is about singing is not at all clear-cut). There are quite a few leniencies among the halakhic decisors (such as hearing several women, through a loudspeaker, without seeing them, and the like). One should take into account that nowadays it is completely accepted to hear women singing as an artistic matter, without any connection to sexuality, which was not accepted in the past. Therefore today women's singing does not necessarily have a sexual connotation, and it does not necessarily arouse forbidden thoughts. So in practice, to the best of my judgment, one may rely on all these leniencies, at least where we are speaking about female singing that does not have a sexual connotation.