One of the sore points of India’s defeat in the Asia Cup final against dismissal was the unusual dismissal (obstructing the field) of Anuja Patil for 3. She thus became the first player to be so dismissed in a women’s T20I match.
There is no such instance in women’s Tests.
There is one instance in ODIs, again from India. D Kamini (2) was dismissed the same way against the West Indies in 2016.
This mode of dismissal is quite rare in men’s cricket too.
Tests: Only one instance, Len Hutton (27), E v SA in 1951.
ODIs: 6 instances, starting with Ramiz Raja (99) against England in 1987. This was in an ODI series after the 1987 World Cup. The last instance was by Ben Stokes, E v A in 2015.
T20Is: Only one instance, Jason Roy (67), E v SA in 2017.