They do make it confusing on the website. From the actual administrative code.
(6) Muzzleloader-only open seasons, and bag and possession limits shall be as follows. In Anderson, Angelina, Austin, Bastrop, Bell (East of IH 35), Bowie, Brazoria, Brazos, Brewster, Burleson, Caldwell, Camp, Cass, Chambers, Cherokee, Colorado, Comal (East of IH 35), Culberson, Delta, DeWitt, Ellis, Fannin, Falls, Fayette, Fort Bend, Franklin, Freestone, Galveston, Goliad, Gonzales, Gregg, Grimes, Guadalupe, Hardin, Harris, Harrison, Hays (East of IH 35), Henderson, Hopkins, Houston, Hunt, Jackson, Jasper, Jeff Davis, Jefferson, Karnes, Kaufman, Lamar, Lavaca, Lee, Leon, Liberty, Limestone, Madison, Marion, Matagorda, Milam, Montgomery, Morris, Nacogdoches, Navarro, Newton, Orange, Panola, Polk, Presidio, Rains, Red River, Reeves, Robertson, Rusk, Sabine, San Augustine, San Jacinto, Shelby, Smith, Titus, Travis (East of IH 35), Trinity, Tyler, Upshur, Van Zandt, Victoria, Walker, Waller, Washington, Wharton, Williamson (East of IH 35), Wilson and Wood counties, there is an open season during which deer may be taken only with a muzzleloader.
(A) The open season is 14 consecutive days starting the first Monday following the first Sunday in January.
(B) The bag limit for buck and antlerless deer is as specified in this section for the general season in the county or portion of a county in which take occurs.
(C) Antlerless deer may be taken on USFS lands during a muzzleloader-only season.
https://texreg.sos.state.tx.us/