Yes, you can have difficulty internalizing rhythm... but yes, you can work to improve it. You should look at Dalcroze methodology: see if there is a teacher or a summer workshop in your area.
1) This is excellent advice, from which I have personally benefited. I have low-level Parkinson's Disease and have had tremors all of my 65 years. That, Bernadette, is what the term "baby steps" means, in regards matriculation at the piano.
My own instructor, Dr. David Frego, is Department Chair of Music and Dance at the University of Texas at San Antonio. He regularly teaches seminars globally, and also deals with Traumatic Brain Injury soldiers/patients at the Center for the Intrepid at Fort Sam Houston. You cannot get any more baby steps than that.
Accordingly, here are two links to Dalcroze, which might get you on your way, partially:
https://en.wikipedia.org/wiki/Dalcroze_Eurhythmicshttps://www.dalcrozeusa.org/about-us/history2) As delineated in my video,
an essential part of original performance practice was not only improvisation, but also tempo modification. THAT DOES NOT MEAN that one throws the rhythm of a particular piece out the window. But, what it does mean is that once a person has a decent sense of time, then perfect metronomic accuracy is not the way this music was originally played.
So, once again, I highly recommend Dalcroze, and if you need the names and addresses of a particular teacher, based on your geography, please do not hesitate to contact me by PM.
And, whatever you do, please do not consider yourself hopeless because that is a falsehood. If with my physical maladies, I can do it, anyone can do it!
There is no shame in "baby steps." If I had a dollar for all of the so-called piano contest prodigies who crashed and burned (when they ignored the basic physical and mental reality of playing this great instrument), I would definitely never want for money!