I need JTAG-20-10 adaptor but male connector on 20 pin side. Is there an adapt it to my needs?
Buy 0.1" step male-male headers and plug the female one in it.
Use this as a reference for what to look for (but if it is 2x20 you'd need to cut it, maybe find 2x10 one):
https://www.sparkfun.com/products/14275