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Federal law prohibits all employee harassment. Harassment is any unwelcome conduct based on gender, age, race or color, religion, national origin, or disability. The conduct must either be a condition of continued employment or so serve and continuous that a reasonable person would find it abusive or intimidating. The victim does not have to be the target the of the unwelcome conduct. The victim might simply be offended by such harassing behavior directed at another employee. A harassment victim an file a legal complaint against the employer and, under some circumstances, can sue the employer for monetary damages.
Texas is an at-will employment state. An employer can usually fire an employee for any reason at any time. A major exception exists when an employment contract exists between which limits the employer's ability to terminate the employment relationship at will. Additionally, employers may not fire an employee for an illegal reason, such as discrimination based on age, race, or gender, or in retaliation for filing an employment-related complaint against the company for workers' compensation, an unsafe work environment, or discrimination.
Basically what you described is not prohibited behavior unless it is based on race, gender or age among some other small exceptions. Texas is an at-will state and they can fire you or cut your hours for no reason whatsoever subject to the exceptions I already mentioned.
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