Welcome to the forum Slow Bluez.
'T' stands for 'Time delay' which is another name for slow blow, so yes, as long as it says T500mA you'll be fine.
The HT fuse blowing can indeed indicate a bad KT66, if you replace the fuse and it quickly blows again then that is probably what is wrong.
Replace it and see what happens (I hope you bought a few as spares anyway). You may be lucky.