Formula feed baby from born

Hi mummies, i just gave birth few days ago and found out i have inverted nipple and not able to latch baby and that made me so sad and demoralised. They told me to pump or hand express instead, to also use pump to stimulate milk. I tried pumping for 3 times, was able to get very few drop of colostrum. But pumping kind of affecting my mental, especially when i need to pump every 3 hours to stimulate milk/colostrum. Altho i only tried few times. Currently baby on formula since birth. Am I really a bad mother if I want to only formula feed my baby instead of exclusive pump or mix feed ? Any mummies formula feed their baby from born and doing well ? #FTM #pleasehelp