badger - To repeatedly and annoyingly ask someone to do something.
Every time that Arnold asked Samantha to go out on a date, she would tell him firmly ‘No’. But each time he saw her, he would badger her again and again about wanting to go out, and again she said 'No!'
shun - To persistently avoid, ignore, or reject (someone or something) through antipathy or caution
When David tried to join in the conversation at the club, they ignored him, and he suspected that he was being shunned because he had a different religion than they did.
grapple - To seize something and hold it firmly; to wrestle with; to ponder and intensely evaluate a problem; to struggle to deal with
When Bill got lost on his trip to Paris, he had to grapple with the task of finding a place to sleep and not knowing the language.
