Here are some examples of how "rudely" might be used:
* He rudely interrupted the speaker.
* She stared rudely at the people in the next booth.
* They rudely ignored the "No Smoking" sign.
Here are some synonyms for "rudely":
* Disrespectfully
* Impolitely
* Uncourteously
* Abruptly
* Brusquely
* Uncivilly
* Boorishly
The opposite of "rudely" would be politely, courteously, or respectfully.