It's not about "not hurting mens feelings", it's that complete separation of men and young children is totally impractical.
Banning men from working in nurseries, for example, is not a proportionate measure. It would be wide open to legal challenges. It could have further consequences for the field of medicine, teaching etc.
It's not going to happen.
A better measure would be to mandate staff working in pairs so no employee is left alone with children in their care, however the problems with that will be much increased staffing costs and fees which will be passed on to parents.
There is also the question over childminders and male adults who may be in their home. If similar mandates are applied to them, it would probably force many out of business.
As others have pointed out, there is already a recruitment problem in the sector and I don't think I need to point out just how high costs already are. There is little room to increase wages or staffing numbers.
A lack in available childcare / a steep rise in fees would force many couples to have one parent stay at home (and let's face it, it's going to be mostly mothers), and that's to say nothing of how single parents (again, overwhelmingly mothers with primary care responsibilities) will be affected.