Yes, I used to have the same problem like you. Fortunately I am able to feed her and until today I am still direct breastfeeding my 2 years plus child. What you do is, take a cloth make it wet with hot water and massage on your nipple, then once it started to pop out quickly feed your baby. You have to do this few times, and then your nipples will start to pop out eventually and will be easier to direct feed. Sometimes you can even massage it on and off.