The LGBTQ+ community includes people that are lesbian, gay, bisexual, transgender, non-binary, queer, and many more labels. Within that community, there are cis-gender folks, transgender folks, non-binary folks, and more. Therefore, there is no specific pronoun for members of the LGBTQ+ community.
Instead, different people use different pronouns depending on their gender identity. Male (whether trans or cis) people might use he/his/him. Female (whether trans or cis) people might use she/hers/her. Non-binary or gender-neutral folk might use they/them/theirs or ze/hir.
Some LGBTQ+ folks might prefer using a mixture of pronouns, depending on their gender identity. When in doubt, ask a person for their pronouns.