Almost there .
On iPad: (or iPhone, presumably, I don't have one)
Look at the top of screen menu, tap Setup, then tap User Waypoints, then put your finger over the waypoint you want to delete and swipe LEFT. You'll get the DELETE option then.
I got there AFTER your helping tips and whe I got stuck on the swipe right I tried swipe left
Divelements: There's a real usability issue here. Should correct this ASAP, leave this option as it is (for those who are already used to it) but add another one, when you tap the waypoint on the screen for 2 seconds or so the DELETE option should appear in the same menu where "View on Map" appears, below it, possibly, and in red.