Identification – Help Identifying 2-Pin 5-Sided Connector

That connector looks very like a JST XH connector

The pitch is 2.5mm.

The JST web site can be searched for 'XH' here Or the JST XH series is here.

There is a link to a downloadable PDF but it isn't clear that it is stable for the long term, so this link may break.

The engineering drawing "Through-hole type shrouded header", page 3, is 7mm high.

The datasheet has another drawing which says 9.8mm high on page 1, but that shows a plug in a socket, that drawing also shows 7mm as the height of the socket

I believe it's a JST PH 2.0 connector.

Waveshare's product page for the e-Paper HAT says the package includes a "PH2.0 20cm 8Pin x1" which then made things quite easy :-)

The connector is a JST PHR-8, available here or here for instance.