The phrase "looked steadfastly" is correct and usable in written English
It can be used to describe someone gazing intently or with determination at something.
Example: "She looked steadfastly at the horizon, waiting for the first light of dawn."
Alternatives: "gazed intently" or "stared resolutely."
May remained impassive, looking steadfastly straight ahead at a fascinating scratch in the woodwork.
A woman standing behind Bailey, while she rabbited into her phone about the rude children, steadfastly looked in her eyes, directly challenging her both verbally and in posture.
And though Darwin was aware that British science was imbued with the search for natural causes underlying natural phenomena (Rudwick 1985), when it came to the origin of species, his teachers at Cambridge University, like most other British scientists of the 1820s, still steadfastly looked away from transmutation.
Others, however, appear steadfastly opposed.
One can minimize the Accord's split-personality confusion by steadfastly looking out the windshield and driving.
To expand the realm of possibility, avoid unnecessary collisions, embrace the desired outcome and then effectuate positive, purposeful change to get you where you want to be, you've got to steadfastly look where you want to go.
Those of us more steadfastly rooted to our seats looked on with amusement.
But Mr. Twombly, a tall, rangy Virginian who once practiced drawing in the dark to make his lines less purposeful, steadfastly followed his own program and looked to his own muses: often literary ones like Catullus, Rumi, Pound and Rilke.
"Ford steadfastly refused to look at the vehicle," said Jill Bratina, a Firestone spokeswoman.
"They may look like they are posing as steadfastly as a human but they aren't trained.
