Help: Feeling like I've not experienced labour

I know I'm not alone here but there is nobody I have been able to speak to around where I live about how I feel who understands so I hope that some of you could share your experiences instead and offer some kind of reassurance.

I gave birth to my beautiful baby boy back in September via c-section. Basically my waters had gone and as I wasn't progressing enough I was induced via the drip and opted for an epidural as I was advised by my midwife how much the pain might shoot up if this was to happen. I felt that it was the right thing to do at the time. While having the drip my baby became agitated with the emergency team having to come in a couple of times due to his heart rate dropping. Anyway...

nearly 48 hours later I hadn't progressed enough from being induced (only 5.5cm) and as he kept becoming agitated I was offered an emergency section. Due to the reasons above and the risk of developing an infection after 48hours I decided to have one. My boy was delivered quickly and after 2-3 small puffs to clear his lungs he was screaming himself into the world and I instantly fell in love.

So... here is when it bothers me... ever since then I hate discussing my birth experience with people and hearing about what they went through. I hate feeling like I missed out on all the big contractions and of a vaginal birth. Watching things on tv with people giving birth upset me. I feel like I've failed birthing my son and as I don't know if we will be having anymore kids I feel sad.