Baby oil and condoms

It's funny how you somehow imbibe information over the years! This morning (well yesterday morning now, it's 3:30am here) I was using my vibrator (which is finally working, months after my boyfriend bought it, yay!) and he recommended putting baby oil or something on it, so I did. Then he got turned on watching me so asked if we could have sex.

Just as he was putting the condom on I remembered from somewhere that baby oil can damage condoms, and I told him. So we decided that he wouldn't come inside me, fair enough. Later on when he had left, I saw the condom in the bin and you could see right from the ring to the other side. I thought that was strange but didn't want to pick it up to check.

Then later on I was in the bath and a piece of condom came out of me - a huge piece, about 1/5th of it with the tip etc. YUCK! I am so pleased I remembered that baby oil + condoms = big nono

BUT I am wondering whether I am safe - I've heard that the fluid that comes out when a guy is excited can contain sperm, so that must have come into contact with me. I'm not on the pill or anything, shoud I be worried? Also I have got a horrible slimy gross-coloured substance coming out of my urethra.

Any advice?

(I texted my boyfriend to tell him what happened in the bath and he said I'll be fine because he didn't come. Argh!)

Thanks,
* Evian