Hey there! To restore your connection, you need to re-connect your Twitch account to your Bungie.net account.
Unfortunately, Twitch Prime rewards can only be claimed one time - if you don't see them in your Partner Rewards, you may want to re-link your accounts together then wait until next month to claim that Gear Drop then see if they appear in Amanda Holliday's inventory in the Tower Hangar.
https://twitch.amazon.com/tp/oauth/start/bungie?overwrite=true&redirectUrl=https://twitch.amazon.com/prime/loot/destiny2
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It's all good, I just had to wait a day. Thanks for replying Haraam!