I'm only suggesting it as a temporary measure until TEI makes a national engine.
Not possible to use F110 as otherwise the TF-X would be a huge fighter as large as F-22.
UK's EJ-2000 is an excellent engine as the base version already has over 9:1 T/W ratio and the design allows 30% increase on this. Imagine a TF-X with two EJ-2000X producing 117kN of thrust each!