Thank you for posting this concern.  I'm not a mental health professional. So I can only offer my personal opinion. What you describe suggests two things to me. One is the concept of emotional unavailability. And the other is attachment styles. So here are links to 5 articles, from PC's archives, that relate to these subjects:
What is Commitment Phobia & Relationship Anxiety?
Are You Emotionally Unavailable?
Attachment-What's Your Style? | Dysfunction Interrupted
What's My Attachment Style and Why Does It Matter? | Happily Imperfect
How to Change Your Attachment Style
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"I may be older but I am not wise / I'm still a child's grown-up disguise / and I never can tell you what you want to know / You will find out as you go." (from: "A Nightengale's Lullaby" - Julie Last)
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