"that gay people should not be denied a fundamental human right"
Jacket if you drop the "human" your point is better served.
"Political Dictionary: human rights
Human rights are a special sort of inalienable moral entitlement. They attach to all persons equally, by virtue of their humanity, irrespective of race, nationality, or membership of any particular social group. They specify the minimum conditions for human dignity and a tolerable life.
The first generation of civil and political rights restricts what others (including the state) may do, for example, life, liberty, and freedom from torture. A second generation of social and economic rights requires active provision, such as by imposing an obligation on government. Some analysts call them ideals, often constrained in practice by inadequate resources. A third generation concerns such rights as peace, development, and humanitarian assistance. While many of the claims attach to individuals some belong to collectivities, such as the right to national self-determination.
Rights have been catalogued by the United Nations in the Universal Declaration of Human Rights (1948)—a General Assembly resolution that is not legally binding—and elsewhere. Other accounts are present in many countries' constitutions and regional organizations of states including Europe.
Statements about human rights are normative and prescriptive. Critics reject the idea of universality, or allege particular accounts are ideological or culture-specific, as in the claim from Singapore's leadership that ‘Asian values’ offer a more appropriate account of rights to some East Asian societies. Some commentators argue that even human rights may be violated for reasons of state or public emergency. Human rights claims challenge state sovereignty and power. But increasingly respect for rights contributes to a state's international legitimacy and reputation, and increasingly external pressures are brought to bear on governments that abuse basic human rights."
Fundamental rights seem to be abetter fit:
"Some rights generally recognized as fundamental are:
Right to life
Right to marry
Right to procreate
Right to raise children free from unnecessary governmental interference
Right to freedom of association
Right to freedom of expression
Right to equality of treatment before the law (fair legal procedures)
Right to freedom of thought
Right to religious belief
Right to choose when and where to acquire formal education
Right to pursue happiness
Right to vote
Right to Freedom of contract"
Nihil possumus contra veritatem