So it looks like you're in Syracuse.
You're in luck. City law protects you.
https://www.municode.com/library/ny/syracuse/codes/code_of_ordinances?nodeId=PTLLOLA_CH8HURI_S8-4UNDIPREmployment.
1.
It shall be an unlawful discriminatory practice:
(a)
For an employer or licensing agency, because of the sexual or affectional preference or orientation and/
or actual or perceived sex, or gender identity or expression of any individual, to refuse to hire or employ or to bar or to discharge from employment such individual or to discriminate against such individual in compensation or in terms, conditions or privileges of employment.
(b)
For an employment agency to discriminate against any individual because of her or his sexual or affectional preference or orientation and/
or that person's actual or perceived sex, or gender identity or expression, in receiving, classifying, disposing or otherwise acting upon applications for its services or in referring an applicant or applicants to an employer or employers.
(c)
For a labor organization, because of the sexual or affectional preference or orientation
and/or actual or perceived sex, or gender identity or expression of any individual, to exclude or to expel from its membership such individual or to discriminate in any way against any of its members or against any employer or any individual employed by an employer, because of her or his sexual or affectional preference or orientation and/or actual or perceived sex, or gender identity or expression.
(d)
For an employer or employment agency to print or circulate or cause to be printed or circulated any statement, advertisement or publication, or to use any form of application for employment or to make any inquiry in connection with prospective employment, which expresses directly or indirectly, any limitations, specification or discriminations as to sexual or affectional preference or orientation
and/or actual or perceived sex, or gender identity or expression, or any intent to make any such limitation, specification or discrimination.
(e)
For any employer, labor organization or employment agency to discharge, expel or otherwise discriminate against any person because she or he has opposed any practices forbidden under this law or because she or he has filed a complaint, testified or assisted in any proceeding under this law.
2.
It shall be an unlawful discriminatory practice for an employer, labor organization, employment agency or any joint labor-management committee controlling apprentice training programs:
(a)
To deny to or withhold from any person because of her or his sexual or affectional preference or orientation
and/or that person's actual or perceived sex, or gender identity or expression, the right to be admitted to or participate in a guidance program, an apprenticeship training program, on-the-job training program, executive training program, or other occupational training or retraining program;
(b)
To discriminate against any person in her or his pursuit of such programs or to discriminate against such a person in the terms, conditions or privileges of such programs because of her or his sexual or affectional preference or orientation
and/or that person's actual or perceived sex, or gender identity or expression;(c)
To print or circulate or cause to be printed or circulated any statement, advertisement or publication, or to use any form of application for such programs or to make any inquiry in connection with such program which expresses, directly or indirectly, any limitation, specification or discrimination as to sexual or affectional preference or orientation and/or actual
or perceived sex, or gender identity or expression, or any intention to make any such limitation, specification or discrimination.
----------------------
There you go. Looks like you're good to go. In reality it is always best to have an accommodating employer but just in case things go South it is good to have the law to back you up.