直帰って英語でなんて言うの？

All three of these examples say exactly the same thing, the last is the most descriptive. The first two place the emphasis on either destination.

There are so many ways you can express yourself. You can use the following sentences to express yourself in a business situation. These are ways you can inform your colleagues or boss that they should not expect you to return to the office on that specific day. *After my meeting with the client, I will be going straight home. *I will not be coming back to the office after my meeting with client.

If you are going straight home after seeing a client then you can simply say 'I'm going straight home' if you want to explain you wont be going to the office then you can say 'I'm not returning to the office'

In a business situation where you meet a client, and after that you go directly home (without going back to your own office) - and you wish to state your position, then you can try the above example sentences.

If you were in a business situation and had just finished a meeting with your client, but you were not going back to the office afterwards then you could use any of the above examples in order to explain your intention of not returning to the office after the meeting, to your boss, colleagues or even family and friends.

Straight home' explains the fact that a person will go home soon as the meeting has ended. If you wanted to express that you will go elsewhere before going home you can say "After the meeting, I will stop by the store" etc