Learn French: Il est intransigeant et il va te refouler. - He is uncompromising and he is going to turn you away.

In the futur proche (near future), which is formed with aller + an infinitive, object pronouns belong to the action happening. Therefore, te goes immediately before the infinitive refouler, not the conjugated verb va.

What does refouler mean here? I have seen it used to mean 'to repress'.

Exactly! The literal meaning of refouler is 'to push back' or 'to drive back'. In psychology, it means 'to repress' (pushing back feelings). In physical or social situations, like at a club or a border, it means 'to turn away' or 'to deny entry'.

Is intransigeant related to the English word 'intransigent'?

Yes, they share the same root. However, while 'intransigent' sounds quite formal in English, intransigeant is much more common in everyday French. It is usually the best way to say someone is 'uncompromising', 'inflexible', or 'strict'.

Should I pronounce a liaison between est and intransigeant?

Yes, you can make a liaison here. Pronouncing the 't' in est to connect it to intransigeant is an optional but very common liaison. It makes your spoken French sound a bit more fluid and polished.