Is it difficult to shorten the nose tip (not nose bridge)? Doctors would tell me they couldn’t do it for my nose.

Your nose does seem to appear overprojected, and you may benefit from a rhinoplasty procedure with a subtle tip refining. With a conservative and artistic approach, a more desirable, feminine result can be achieved. A word of caution, however:  you have overcorrected your nose in the photoshopped version, but I do understand that you are looking to bring more facial harmony and balance to your profile. Do do consult with a board certified plastic surgeon with decades of experience in rhinoplasty

From the photos, it appears that you are an excellent candidate for rhinoplasty. You can certainly have both your bridge and tip reduced and shortened. It is important to see an experienced rhinoplasty surgeon that can perform computer imaging at the time of the consultation. That way you can create a good plan of what you want at that time.

If the doctors you visited felt they were not able to deproject your tip, then it's good they declined to offer you an operation. It certainly is possible to do, though. The woman in the short video that I posted with this answer had the tip of her nose brought back closer to her face, though much more than your nose requires.
Your morph is very good: you de-projected the tip, and lowered the bridge so it's not as strong, but still doesn't look scooped-out.
Remember that rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. Deprojecting a tip requires advanced techniques, requiring skill that most plastic surgeons don't possess with expertise. For most noses, it's much better to not have surgery than to have inexpertly-performed surgery. Read the essay I prepared on how to stay out of trouble while selecting a rhinoplasty surgeon.