Will I ever feel a real connection to our child when only my husband has the biological link?

We've trusted a clinic our last embryo previously, and, unfortunately at the 10 weeks the heartbeat disappeared...
Now we're doing it with an agency with donor eggs, our surrogate is already at the halfway mark of the pregnancy, a terrifying fear has taken over.

Will I actually feel a true connection to a child who shares no biological link to me and whom I didn't carry? Did the bond come naturally, or was it a journey?
Since society constantly teaches us that motherhood is defined by biology and pregnancy, my mind plays cruel tricks. I worry I’ll feel like an outsider looking into a family of just the two of them...