Assuming you are using mushroom-template-card, and can use card-mod, you can define flex size basis to the icon and info and then align the info text. The mushroom-template-card uses a tile with 6 columns, so I have used 1 and 5 for the flex paramaters, but you can play around with flex (flex-grow / flex-shrink / flex-basis)
type: custom:mushroom-template-card
primary: Hello, {{user}}
secondary: How are you?
icon: mdi:mushroom
features_position: bottom
card_mod:
style: |
ha-tile-icon {
flex: 1;
}
ha-tile-info {
flex: 5;
text-align: center;
}
