^
With the current state of situation in Congress, there is in fact not much more she can really do. Barring a congressional flip, at the very best, she can appoint a liberal Supreme Court judge and appeal the case again if Texas moves to block it permanently.

The last four years have been battles largely between the Executive vs. the State (i.e. conservative states, specifically Texas) decided by the Supreme Court.

The none-decision last month meant the lower court’s decision remains, however the formation of immigration policy is exclusively the prerogative of the Federal Government, because immigration is an inherently national matter. The Lower Courts cannot decide immigration policy for all 50 states.

Therefore I can see ample ground for individual Blue states in challenging the injunction instead as well.

Only time will tell.

A Democratic president would help a great deal as well.