When said by a woman it can mean
1. fuck off
2. eat her out
3. shes actually has a penis and wants you to suck it
Guy : Damn girl you sure are hot
Girl : suck my dick
This being the scenario where she wants you to fuck off unless said flirtatiously where she would want to be eaten out
When your Twitter name is avocado and you didn't know that you don't have a dick
@novemberain_exe: suck my Dick. Oops I forgot that I don't have one
An idiom used by an individual to sarcastically insult an adversary by emphasizing the adversaries' inability to cease an undesired perpetuation that is advantageous to the individual.
The idiom meaning is derived by sarcastically insinuating that an adversary has no desired options and is offered an additional undesired option to emphasize the deficiency of desirable options (under the assumption that "sucking an adversaries dick" is undesired).
The Police Can "Suck My Dick".
To tell someone to suck that small tiny goofy ahh dick
Jake: wanna spray paint
Fresh: suck my DICK NIGGA
When someone hates on your success in front of you
Joe found out I got a raise and started stepping on my dick