Feel a bit like I failed

My little girl is currently 13 weeks old. I’m a FTM and every time I think about her birth I feel slightly like I failed. I was in labour 15 hours and had pre eclampsia. My epidural didn’t work so I felt everything. After an hour and a half of pushing they gave me the option to have the ventouse where they put the sucky cup thing on babies head and pull her out. I was so exhausted and in so much pain I decided to do it. I was cut and after quite a bit of tugging she was born. I can’t help but feel like because I didn’t push her all out myself that I don’t match up to other women who do. I know this probably sounds ridiculous as I should just be grateful that she arrived safely but has anyone else felt like this and if so, how did you stop?