Does a state university have the right to suggest an honor student drop out and go to some other college?

If you feel that is the basis of a case, then I am sure there are zillions of attorneys in the local yellow pages advertising a free consultation. why not take a few up on their kind offer?

You are using terms that are not finite - "suggest" is not improper, but denial would be. I am not sure where you are concluding that her privacy and 1st Amendment rights have been violated. Further details would be needed to properly address your question. If the State college is at fault and is acting (or faculty is acting) improperly then you will need to seek a higher authority. Find the governing body of this establishment and file a grievance. Citing your rights have been violated is an undertaking of an up-hill battle - but may well be worth your efforts.

Somehow, I feel like we're not getting the whole story.

Even if you were once an honor student, if you no longer meet the minimum academic requirements for enrollment, then yes, they have every right to put you on probation or disqualification.

My recommendation is to petition to the head of your department, or to your University Dean... but be prepared to prove why they should allow you to stay (and mentioning how beautiful you are probably isn't the best method of doing that.)

I am going to make an assumption that have you done something that the university feels reflects poorly on their image and that is why you have not been welcomed back-

That's usually why- students even good ones (no one cares what you look like) are unwelcome- they have participated in unsavory activities and the people in charge found out about it.

If you really think that you did no wrong- get a lawyer.

Reaches: Brown, UPenn, Stanford, Duke, Columbia, U Chicago, Northwestern, Johns Hopkins, Williams, Amherst Targets: Tufts, UC Berkeley, UCLA, Georgetown, Emory, UNC Chapel Hill, NYU, Wash U St. Louis, Colgate, Hamilton Safeties: U Wisconsin Madison, U Michigan Ann Arbor, George Washington U, UMass Amherst, U of Richmond, Skidmore (Most of these schools are known for their med schools as well...)

You may want to further describe the situation in order to obtain a proper answer.

There are many reasons the school may request she leave.

You would actually have to describe what happened in order to get advice.

Looks don't get you anywhere, especially in an Internet forum.

Your statement is vague and not understandable.

better than being expelled I guess.