Taylor refuses to rule out Liberal leadership challenge

There's growing speculation Sussan Ley could face a challenge from Andrew Hastie or Angus Taylor. (Lukas Coch / Mick Tsikas/AAP PHOTOS)

Embattled Opposition Leader Sussan Ley is remaining defiant despite one of her senior colleagues refusing to rule out a challenge for the party's top job.

Liberal frontbencher Angus Taylor and backbencher Andrew Hastie are believed to be in the running to replace Ms Ley after a horror few weeks in and out of parliament.