Adafruit pitft 2.2 and Hammer headers


I’ve just bought an Adafruit PiTft 2.2 to connect to my new Pi.
I was hoping to be able to use a female hammer header as I have with the Enviro-Phat, Unicorn pHat and Button shim.

However the holes on the PiTft seem smaller than on the other units and I am reluctant to use extra force to fit the header.

Is the hammer header not suitable and therefore do I need to get a normal header soldered on ? (due to hand shaking I am useless at soldering!)