The ID of the tree is difficult to nail down. Although foliage differences can be hard to tell apart due to fine details, the cones (fruits/seeds) of the plant pictured are not those of a Juniper (Eastern Redcedar included), nor Arborvitae, Bald Cypress, Dawn Redwood, or Cryptomeria, all commonly-grown conifers.

Instead, it appears to be a type of Chamaecyparis. We can't tell which species, though one guess based on needle shape is Lawson Cypress (Chamaecyparis lawsoniana, which is not commonly grown in our area, even though other species of Chamaecyparis are).

Atlantic Whitecedar (Chamaecyparis thyoides) is native, though rare in Maryland and not recorded as growing wild in Carroll County, and we're not sure the cones and bark characteristics are a good match.

Chamaecyparis pisifera could be a match, and variety squarrosa can get this big, and has a somewhat bluish hue (probably more so when young, though).

Regardless of the exact tree ID, occasional branch breakage from heavy snow/ice weight is not unusual and doesn't mean the tree is dying. If the break point can be reached, it would help to give the wound a clean cut rather than leave the jagged tear from the snapped wood, but if it's out of reach, you should work with a certified arborist or licensed tree expert to do the trimming. An experienced arborist may also be able to ID the tree with more certainty.

As you have been doing, try to keep all ivy off of the tree; don't pull it off the trunk, which could damage bark, but sever the ivy's stems connecting it to the ground so the climbing stems desiccate and die off.

That's an impressive specimen either way, and you might want to see if it qualifies as a "champion tree" for its species in our area: Maryland's Big Tree Program with the DNR.

Miri

You're welcome!