BS1362s is a standard I believe, for that size of fuse used in those UK plugs. TDC180 is a cooper bussmann series. as long as the sizes match (which they do), it'll fit.
but if you do use that type of fuse, I believe they're relatively (rel power distribution) low rated, both in voltage and breaking capacity. the fuse size is: 6.30mm x 25.40mm
if the fuse is too small, all you need is to add something conductive to each side of the fuse clamps, or just jam it in.
The TDC180-1's are like 2.5$ CAD/u or 22.95$/10u etc. etc at digikey. as others have said, this meter is definitely not for use in high power or even high voltage circuits. they appear to be rated only to 240V (264 max) AC and 6kA breaking capacity.
However, for most electronics (which are low powered and low voltages), you won't find yourself accidently shorting anywhere near that much current.
could always look for Siba fuses (dunno what their prices are like within the EU, but over here, they're 10-25$/u for the 30-40kA breaking capacity DMM fuses, vs 5-7$/u for 20kA cooper-bussmann 20kA breaking capacity fuses.