to thrust oneself into a situation or a place without invitation, permission, or welcome
It is rude, madam, to intrude, madam, with your brood, madam, brazen-faced — W S Gilbert
to force (something) in or on something, esp without permission or suitable reason
to enter as a geological intrusion
to force (something) in or on something, esp without permission, welcome, or suitable reason
She decided to intrude a trite moral into her lecture
to cause (e.g. rock) to intrude
[Latin intrudere to thrust in, from in-2 + trudere to thrust]