What is the Time Frame for Steroid Injections on Tip After Rhinoplasty?

The answer is different in different offices, since there is no data that directly answers your question. My opinion is that kenalog (steroid) injections bring down swelling and limit the deposition of scar tissue. If overdone, they can thin the skin/soft tissue envelope and cause distracting depressions, or alterations in the quality and drape of the skin. But in my experience that is rare.
I consider an injection as early as one week post op, typically in cases where its a revision and I know the patient has a tendency to heal with a lot of scar tissue or skin thickness.
More commonly I wait until one month post op. By that time some of the swelling has resolved and it's easier to see where a steroid injection has merit.
I also have four different concentrations for the steroid we inject, in order to further control how aggressively we are manipulating the healing process. So because of that, I use it quite a bit in my practice. I have to back that by noting more than one of the leading educators/surgeons in the rhino world use kenalog on every rhinoplasty one month post op.
Two things specific to your situation. One, revision rhinoplasty always swells longer than the original rhinoplasty. Two, open rhino swells more than endonasal rhino. And the tip (or infratip lobule) always holds the swelling the longest

Steroid time frames for injection clearly vary with surgeon and their personal preferences following surgery. I generally consider these beginning at 3 weeks at the earliest and will wait up to 6 moths for ongoing treatment.

I think injections with very dilute kenalog K10 can be helpful with post operative swelling following a rhinoplasty. It needs to be injected deep below the skin in the soft tissue of the supratip (just above the point of the tip). I like to wait 3 months before injecting for the nose settle down and bulk of the swelling to subside.

 I only use these if the swelling is not going down normally and there is a stiffness to the area above the tip after 3 months. You can wait longer without a problem.

The wide appearance of your nasal tip is likely due to swelling after your surgery. It is too soon to have any "scar tissue" formation in your tip. You could discuss a steroid (triamcinolone) injection with your surgeon. You could also discuss a short course of oral steroids to help bring down some of your swelling.
I hope this is helpful for you