Rudely disturb cow on the tube without hesitation (7)

I believe the answer is:

intrude

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'rudely disturb' is the definition.
'intrude' can be an answer for 'disturb' (thesaurus). I'm not certain of the 'rudely' bit.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for intrude that I've seen before include "Stick one's nose in" , "Come in uninvited" , "Enter uninvited and unwelcome" , "meddle" , "Pry" .)

I've seen this clue in The Telegraph.

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