Isn't sex work legal in the UK, and shouldn't that have a damping effect on the incel thing? I mean, it's hard to be enraged to the point of mass-murder when you can get laid for 100 quid.
Heck, there are both male and female incel communities (each claiming they can’t find anybody of the other gender to form a relationship with) which would be funny were it not so grim.
So to your comment: I don’t think it necessarily matters how well groomed or charismatic or conventionally attractive they are. As long as they have that hate of the other gender any potential partner will be rejected.
In their case, the solution they seem to arrive at is to buy/adopt more cats. Incel men really need to get a similar hobby.