Checking this thread, and a previous thread, the first thing that hit me is that we do not know much about where you were admitted. We also do not know your high school stats, intended major, or budget, or home state. Generally speaking if you give us a bit more information, you are likely to get advice that is more useful.
Exactly. Also, there are lots and lots of opportunities at a very wide range of universities.
I have been on this web site for a few years, and have already given some examples of cases where students have attended pretty good but not prestigious universities (such as something ranked in the 50 to 200 range in the US), and done VERY well. Among the various people on this web site we could probably go on for pages and pages (and bore each other to tears).
There are hundreds of very good colleges and universities in the USA, and at least as many outside the USA. There are very large numbers of very smart people at a very wide range of universities, and they tend to do very well regardless of which university they attend. What you do when you are university matters. Where you do it is vastly less important.
At some point I tried to make a list of the 10 smartest people I had ever met. As some examples this list included three MIT professors, two Stanford professors, a Canadian speed chess champion, a Supreme Court Justice, and someone who started multiple very successful high tech companies (he is not quite a billionaire, too bad). I ended up with 14 people on the list. They have all been very successful. They had gotten their bachelor’s degrees at 14 different universities. Recently I added two more people to the list. Now the 16 people got their bachelor’s at 16 different universities. This almost certainly includes some schools that you have never heard of (such as the University of the Witwatersrand). Getting a degree from a university that most of us have never heard of does not stop people from being very highly successful in life.
The last time that I checked, there were something like 35,000 high schools in the US (including public and private schools). In a recent year MIT got around about 34,000 applications. If you are the number 1 student in your high school (either in math or overall), then you are an average applicant to MIT, or to Harvard or Princeton or Stanford. These schools have an acceptance rate somewhere around about 4% or maybe slightly less. If you are the top student in your high school, you are exceptionally likely to be turned down by all four of these schools (if you apply to all four). If you take a gap year and apply again a year later, you will probably be turned down again. This does not really matter (although I would skip the gap year). You can attend any one of a very wide range of other very good universities and do very well.
And it is perfectly normal for a graduate from MIT or Stanford or Princeton or Harvard to work for a boss who graduated from Rutgers or U.Mass or a university that you have never heard of.
Attending a “prestigious” university really is not important. It might allow high school students and their parents to brag a bit. That is about all that it does. Yes Princeton has multiple very excellent programs. So do hundreds of other universities.
Admissions at the most “prestigious” universities is not strictly only merit based. Again this really does not matter. There are lots and lots of very good universities, and in my experience academically excellent students can get accepted to schools that will provide them with a very good education, even if these schools are not considered “prestigious”. At least in my experience hiring managers seem to have also figured this out, and understand that outstanding recent university graduates come from a wide range of universities.
I am expecting that if you tell us where you were admitted, we will discover that this includes some very good universities where an academically strong student can do very well.