How to delay call function without setTimeout ? Angular

I need to delay call of function for few seconds. I have solution which work but enough good.

  public recieveNewContact() {
      this.allData();
      setTimeout(() => {  
         this.lastAddedItem()
      }, 100)
  }


  public ngOnInit() { 
    this.allData()
  }

  allData() {
      this.accountsService.getContactPerson().subscribe(
         (data) => {
             console.log(data)
        }
      )
    }

This is work good but i don't like this... I need better solution maybe with rxjs ? Delay ?

which is very important.

In this case, I don't need this:

  allData() {
      this.accountsService.getContactPerson().subscribe(
         (data) => {
             console.log(data)
             this.lastAddedItem()
        }
      )
    }

Because i wan't to load lastAddedItem() on init.... Only when is recieveNewContact triggered.

I will try to explain once again:

  public recieveNewContact() {
      this.allData(); 
      this.lastAddedItem()// here to be called when is allData finished without setTimeout
  }