I've just found out I'm 2 weeks pregnant but I'm due on my period on the 13th and already started bleeding. Does that mean my egg will be washed away and I'm no longer pregnant?
No. If your egg is fertilized, it attaches to the wall of the uterus and beings to develop there. You can still have a period if you are that close to the start of your cycle, your cervix is already opening to allow your mestrual cycle to commence, but if your egg is viable, you could be pregnant.