The precomposed character you chose is not available (yet), neither in Unicode 2.0 nor in its TITUS extension.

List of Latin-based precomposed UNICODE characters with description of their elements.

TITUS extensions are in green.
LATIN SMALL LETTER Q WITH ACUTE(q́)
E680590080071+0301113+769
LATIN SMALL LETTER Q WITH MACRON(q̄)
E681590090071+0304113+772
LATIN SMALL LETTER Q WITH DOT ABOVE(q̇)
E682590100071+0307113+775
LATIN SMALL LETTER Q WITH DOT ABOVE AND DOT BELOW(q̣̇)
E683590110071+0307+0323113+775+803
LATIN SMALL LETTER Q WITH DIAERESIS(q̈)
E684590120071+0308113+776
LATIN SMALL LETTER Q WITH DIAERESIS AND DOT BELOW(q̣̈)
E685590130071+0308+0323113+776+803
LATIN SMALL LETTER Q WITH DOUBLE ACUTE(q̋)
E686590140071+030B113+779
LATIN SMALL LETTER Q WITH COMMA ABOVE RIGHT(q̕)
E687590150071+0315113+789
LATIN SMALL LETTER Q WITH DOT BELOW(q̣)
E688590160071+0323113+803
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER PHARYNGEAL MARKER(q̣)
ED7F607990071+0323+EFB1113+803+61361
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER PHARYNGEAL MARKER AND LABIALIZATION MARKER(q̣)
ED80608000071+0323+EFB1+EFB3113+803+61361+61363
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER PALATALIZATION MARKER(q̣)
ED81608010071+0323+EFB2113+803+61362
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER LABIALIZATION MARKER(q̣)
ED82608020071+0323+EFB3113+803+61363
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER INTENSIFIED MARKER(q̣)
ED83608030071+0323+EFB4113+803+61364
LATIN SMALL LETTER Q WITH DOT BELOW AND CAUCASIAN MODIFIER LETTER INTENSIFIED MARKER AND LABIALIZATION MARKER(q̣)
ED84608040071+0323+EFB4+EFB3113+803+61364+61363
LATIN SMALL LETTER Q WITH DOT BELOW AND TURNED COMMA ABOVE RIGHT(q̣)
ED85608050071+0323+F0A1113+803+61601
LATIN SMALL LETTER Q WITH DOT BELOW AND TURNED COMMA ABOVE RIGHT AND CAUCASIAN MODIFIER LETTER INTENSIFIED MARKER(q̣)
ED86608060071+0323+F0A1+EFB4113+803+61601+61364
LATIN SMALL LETTER Q WITH CEDILLA(q̧)
E689590170071+0327113+807
LATIN SMALL LETTER Q WITH SHORT STROKE OVERLAY(q̵)
E68A590180071+0335113+821
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PRERUPTIVE MARKER(q)
EDE2608980071+EFB0113+61360
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PRERUPTIVE MARKER AND PALATALIZATION MARKER(q)
EDE3608990071+EFB0+EFB2113+61360+61362
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PRERUPTIVE MARKER AND LABIALIZATION MARKER(q)
EDE4609000071+EFB0+EFB3113+61360+61363
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PHARYNGEAL MARKER(q)
EDE5609010071+EFB1113+61361
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PHARYNGEAL MARKER AND LABIALIZATION MARKER(q)
EDE6609020071+EFB1+EFB3113+61361+61363
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER PALATALIZATION MARKER(q)
EDE7609030071+EFB2113+61362
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER LABIALIZATION MARKER(q)
EDE8609040071+EFB3113+61363
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER INTENSIFIED MARKER(q)
EDE9609050071+EFB4113+61364
LATIN SMALL LETTER Q WITH CAUCASIAN MODIFIER LETTER INTENSIFIED MARKER AND LABIALIZATION MARKER(q)
EDEA609060071+EFB4+EFB3113+61364+61363
LATIN SMALL LETTER Q WITH AND TURNED COMMA ABOVE RIGHT(q)
EDEB609070071+F0A1113+61601
LATIN SMALL LETTER Q WITH COMMA ABOVE LEFT(q)
EDEC609080071+F0A4113+61604
LATIN SMALL LETTER Q WITH COMMA ABOVE LEFT AND CAUCASIAN MODIFIER LETTER LABIALIZATION MARKER(q)
EDED609090071+F0A4+EFB3113+61604+61363


 The precomposed character you chose is not available (yet), neither in Unicode 2.0 nor in its TITUS extension.