Is it normal to dream of this sort of thing?

I'm a female and I had the strangest dream last night I just have to share it to get some opinions from my fellow is it normal users. I only remember so much of it so bear with me.

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I was an adult male (mid 30s) in the dream. I was at my place of work (something like the FBI) when a female walked in. I recognized her as someone I had known in my past; someone who wasn't good news. I remember having the biggest crush on her but knowing it could never happen because we worked for opposite sides of the law. I greeted her and asked her what she was doing here. Things in the dream became fuzzy after this.

Next, I remember we were in some sort of bedroom. It was night time and we were on each other like two passionate lovers would be. She wouldn't allow it to go any further than making out and I couldn't understand why. I could tell she wanted to.. but she just wouldn't. I asked her why she wouldn't let it go further and she was a bit bashful to answer. After a brief silence, she put my hand on her privates. There is where I felt something that I thought should not be there. Yes.. it was male genitalia. I had never been in any situation such as this before and I'd never even thought about it before it happened. She decided it was best if she were to leave and I, still in shock, did nothing to stop her.

Regardless of what she was working with down there, I was still madly in love with her. She was perfect from head to toe (besides being horribly evil). We met up again the next day and she told me she couldn't stay in town much longer. Her work had plans for her and she needed to get them done soon and she was to leave right after. I asked her about her plans and she only told me where she was going in town, but not why. I became suspicious (knowing, again, how evil she was).

I found out later that many people were in danger and the company she worked for was behind it. I met up with my lover so I could figure it all out. She didn't deny anything and said she had no choice but to follow instructions. I told her I could help but she wouldn't listen. We ended up back at my place. I told her how I felt about her even after what I found out. We wound up in the same situation as we were before but this time she wasn't afraid to rub against me. To say the least, it turned me on a bit more than I thought it would. Then, she got a phone call.. she had to go.

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This is really all that I remember that makes any sort of sense regarding the storyline. There was more that was just jumping around and it didn't all make sense with what had happened before (welcome to my head!). I spared you the random parts.

is it normal to dream of this sort of thing?
Has anyone had something similar show up in their dreams?