Hi Gregory1984,
Did you use public skype or skype for business\Lync ?
If you use skype for business\Lync, it is required domain account to sign in skype for business\Lync.
If you use public skype, please post this issue in Skype forum, there are more experts will help you resolve this issue, thanks for your understanding and support.
https://answers.microsoft.com/en-us/skype?auth=1
Regards,
Alice Wang
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