Baby wants to be carried and held...

Beebee

And all the time during the entire day. Especially held her back against mine. I use the carrier for about 20min. Then she gets fussy and I always have to be on my feet walking otherwise she'll cry. She's got no interest in toys or music for longer than 5-10min. Tummy time the same. She's just so fussy and not a very happy baby. I sometimes let her cry it out because I'm exhausted, is this normal? Am I doing a disservice for carrying her all the time?