My situation was different but I hope that with sharing, it would give you some assurance. I had low lying placenta with my 2nd child. I didnt bleed but gynae cautioned that I might require a c-section if the placenta didnt move up. She told me that the placenta might move up in later stages of my pregnancy and indeed, when I had my scans in my 3rd trimester, it showed that my placenta moved further away from the cervix and natural delivery would be safe. Perhaps your placenta might move up in the later stage of your pregnancy too. Now, it is important to follow your gynae's advice and rest as much as possible. Take care.