Subconjunctival Hemorrhage: This condition is characterized by bleeding underneath the conjunctiva, the clear membrane covering the white part of the eye. It often presents as a red spot or patch on the eye globe without discharge or significant discomfort, fitting the symptoms described. The cause can be trauma, including a poke to the eye, making it the most likely diagnosis given the context.

Corneal Abrasion: Although typically associated with discomfort or pain, a minor corneal abrasion could present with a red spot, especially if the abrasion is small and not centrally located. Vision might not be significantly affected, and there might not be discharge.
Conjunctival Laceration: A small laceration to the conjunctiva could result in a localized red spot without significant discharge or vision changes, especially if the laceration is minor and not involving the deeper structures of the eye.

Open Globe Injury: Although the presentation might not suggest a severe injury, any trauma to the eye can potentially result in an open globe injury, where there is a full-thickness wound through the cornea or sclera. This is a medical emergency that requires immediate attention to prevent vision loss and further complications.
Hyphema: Bleeding in the anterior chamber of the eye can occur after trauma. Even if the patient does not report significant discomfort or vision changes initially, hyphema can lead to increased intraocular pressure, vision loss, and other complications if not promptly addressed.

Scleral Hemorrhage: While less common than subconjunctival hemorrhage, a hemorrhage underneath the sclera (the white part of the eye) could potentially occur after a poke trauma, presenting with a red spot.
Intraocular Foreign Body: If the object that poked the eye was sharp and penetrated the eye, there could be an intraocular foreign body. This would be rare in the context of a "poke" without significant force or velocity but is a possibility, especially if the object was small and sharp.