First, it is true. She is listed as a WEF Young Leader.
Second, try to see the big picture here.
The WEF has many, many compromised leaders in both parties. McCain was one. Crenshaw is another. They are placed in governments and institutions world wide.
Not all of them step forward to support the main attack by the WEF on free countries.
Some are held back strategically to preserve the future if their current plans fail.
Tulsi is "standing alone" in case the main attack fails, she will still have political currency.
As such, she is playing the role of "WEF Designated Survivor." As for the deep state, some know and play along to further the narrative. Others are useful idiots and echo the condemnation.
I'm not sure that designation is meaningful. Gabbard is not active in the organization, doesn't attend DAVOS, etc. so its hard to see how the WEF influences her.
OTOH there is plenty of evidence that the deep state hates Gabbard...from HRC smearing her as a Russian agent, to Google actively throttling her accounts during the 2020 election campaign, and the DNC changing its rules to keep her off-stage during the debates after she demolished Kamala Harris early on.
So NO SALE on your conspiracy theory about her being "compromised".
Do you recall how you learned that? I’ve read very little about Gabbard lately and have been curious about why she is considered “deep state”.