It could. You could get virus or bacteria that is causing her symptoms in your urethra and get urethritis that way.
Aj
just to add,i believe she had a cold that day,would this add to anything?
i dont have any pain,or itchy feeling,just a burning feeling during urine,and a white discharge only in the morning
It could be something called NGU, which is really just an infection in your urethra. Normal mouth bacteria can enter your urethra during oral sex and cause this.
You should go to your doc, an std clinic or planned parenthood and get tested. Make sure they look for white blood cells in your urine.
AJ