I haven't heard the second one as much, but it works too; they mean basically the same but being 'torn' between emphasizes the feeling of really wanting to do two separate things (imagine something being torn apart), while 'dilemma' focuses more on the situation not having a clear choice.

I think you could use both terms, but possibly "torn between" indicates a more emotional concern about the decision.

I sincerely thank you all for taking the time to answer my questions. Thanks to your simple comments, I am getting to understand the point I wanted to clear up. I really appreciate it.

Dilemma is a noun. Torn is the past perfect tense of the verb "to tear" When you have a dilemma, you have to make a difficult decision. Usually bad but not always. "Torn between" is a phrase used to explain that you don't know what to choose. Person A I have a dilemma. Person B What's your dilemma? Person A I'm torn between telling the truth and upsetting my friend or telling a lie and being disloyal to my boss. You can also say I don't know whether to tell the truth and upset my friend or tell a lie and be disloyal to my boss. You can also say I can either tell the truth and upset my friend or tell a lie and be disloyal to my boss.

A "dilemma" is a situation requiring a choice between equally UNDESIRABLE alternatives. Since truth and loyalty are both DESIRABLE things you would not have a "dilemma". It would be better to say you are "torn between" or "in a quandary" which both mean you can't decide. Hope this helps