Moses objected to God's call because he didn't feel he was worthy. One of the reasons was that Moses had a speech impediment, and he didn't think the people would listen to him (literally and figuratively). Mostly, he was afraid.
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Exodus ch:3-4
1) What will I say when the Israelites ask for God's name
2) The Israelites won't believe me
3) I stutter
4) Surely there's someone else more qualified than me (that's the traditional interpretation of 4:13).
Moses said
He wasn't capable of the job - Exodus 3:11
He didn't have message - Exodus 3:13
He didn't have authority - Exodus 4:1
He wasn't a good speaker - Exodus 4:10
He didn't want to do or couldn't do the job - Exodus 4:13