Her birth record cannot be found.  Possibly her parents were abroad at some foreign posting.
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Two birth have been found after 1971 with the surname of Hyde and the mother's maiden name of Fryett:

Last name  First name(s)  Year Of Birth  Year Of Death  Year  Location
Hyde       Gemma Annabel  1979           —              1979  Wandsworth, London
Hyde       Nicholas Peter C  1976        —              1976  Merton, Surrey

I think their birth certificates are needed before we can be sure of either of these, specifically to obtain the full name of their mother.
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Their marriage index:

First name(s)        PETER J
Last name            HYDE
Marriage quarter     1
Marriage year     1971
MarriageFinder       PETER J HYDE married one of these people
                     Jennifer A Fryett
Spouse's last name   Fryett
District             Chelsea
County               London
Country              England
Volume               5A
Page number          1107
Record set           England & Wales Marriages 1837-2005
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