You contributed genetic material to a person 22 years ago and apparently, didn't stay in touch with the woman you slept with to know she was pregnant or didn't follow up on the pregnancy or whatever the case may be. Legally, you aren't this 22 year old's father. DNA does not a parent make. There are plenty of people out there with whom we share some percentage of DNA that we will never know, including parents. Any guy who has donated to a sperm bank may have many genetic offspring somewhere out there. Likewise, there are plenty of parents who share no genetic connections to their children but are awesome parents.
Bottom line is that you can't force this 22 year old to want a relationship with you now any more than you could had you could have even if you had been in her life up to this point. It's easy to feel sad over what might have been, but that is your burden to bear, not this young woman's.