No. You would never call another woman 'buddy'. It's only used for boys and men.
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Meaning of buddy in English:
used when talking to a man, sometimes in a friendly way but often when you are annoyed:
Drink up and go home, buddy.
[ as form of address ] US
used by an adult talking to a young boy in a friendly and kind way:
Are you okay there, buddy?
[Cambridge dictionary]